TSTP Solution File: SWC013-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC013-1 : 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 : n013.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 18:38:12 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   52 (   8 unt;   0 def)
%            Number of atoms       :  151 (  30 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  185 (  86   ~;  93   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f651,plain,
    $false,
    inference(avatar_sat_refutation,[],[f239,f240,f241,f412,f505,f594,f650]) ).

fof(f650,plain,
    ( spl0_1
    | spl0_21 ),
    inference(avatar_contradiction_clause,[],[f649]) ).

fof(f649,plain,
    ( $false
    | spl0_1
    | spl0_21 ),
    inference(subsumption_resolution,[],[f648,f8]) ).

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

fof(f648,plain,
    ( ~ ssList(nil)
    | spl0_1
    | spl0_21 ),
    inference(subsumption_resolution,[],[f647,f199]) ).

fof(f199,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f647,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | spl0_1
    | spl0_21 ),
    inference(subsumption_resolution,[],[f646,f410]) ).

fof(f410,plain,
    ( nil != sk4
    | spl0_21 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl0_21
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f646,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl0_1 ),
    inference(resolution,[],[f221,f243]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( ssList(cons(hd(X0),X1))
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f86,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ssList(cons(X0,X1))
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f221,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl0_1
  <=> ssList(cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f594,plain,
    ( ~ spl0_5
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f593]) ).

fof(f593,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f592,f8]) ).

fof(f592,plain,
    ( ~ ssList(nil)
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(resolution,[],[f563,f215]) ).

fof(f215,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

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

fof(f563,plain,
    ( neq(nil,nil)
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(superposition,[],[f237,f411]) ).

fof(f411,plain,
    ( nil = sk4
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f237,plain,
    ( neq(sk4,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl0_5
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f505,plain,
    ( spl0_21
    | spl0_4 ),
    inference(avatar_split_clause,[],[f504,f231,f409]) ).

fof(f231,plain,
    ( spl0_4
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f504,plain,
    ( nil = sk4
    | spl0_4 ),
    inference(subsumption_resolution,[],[f428,f199]) ).

fof(f428,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_4 ),
    inference(resolution,[],[f233,f76]) ).

fof(f233,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f412,plain,
    ( spl0_21
    | spl0_2 ),
    inference(avatar_split_clause,[],[f298,f223,f409]) ).

fof(f223,plain,
    ( spl0_2
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f298,plain,
    ( neq(nil,sk4)
    | nil = sk4 ),
    inference(resolution,[],[f247,f199]) ).

fof(f247,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | neq(nil,X2) ),
    inference(resolution,[],[f100,f8]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f241,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f209,f235,f223,f231,f227,f219]) ).

fof(f227,plain,
    ( spl0_3
  <=> sk3 = cons(hd(sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f209,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | sk3 != cons(hd(sk4),nil)
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(equality_resolution,[],[f208]) ).

fof(f208,plain,
    ! [X6] :
      ( cons(hd(sk4),nil) != X6
      | ~ ssList(X6)
      | sk3 != X6
      | ~ neq(sk4,nil)
      | ~ ssItem(hd(sk4))
      | ~ neq(nil,sk4) ),
    inference(equality_resolution,[],[f200]) ).

fof(f200,plain,
    ! [X6,X7] :
      ( hd(sk4) != X7
      | cons(X7,nil) != X6
      | ~ ssList(X6)
      | sk3 != X6
      | ~ neq(sk4,nil)
      | ~ ssItem(X7)
      | ~ neq(nil,sk4) ),
    inference(definition_unfolding,[],[f197,f190,f191,f190]) ).

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

fof(f197,axiom,
    ! [X6,X7] :
      ( hd(sk2) != X7
      | cons(X7,nil) != X6
      | ~ ssList(X6)
      | sk1 != X6
      | ~ neq(sk4,nil)
      | ~ ssItem(X7)
      | ~ neq(nil,sk2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f240,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f217,f235]) ).

fof(f217,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f203]) ).

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

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f239,plain,
    ( ~ spl0_2
    | spl0_3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f213,f235,f231,f219,f227,f223]) ).

fof(f213,plain,
    ( ~ neq(sk4,nil)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | sk3 = cons(hd(sk4),nil)
    | ~ neq(nil,sk4) ),
    inference(equality_resolution,[],[f212]) ).

fof(f212,plain,
    ! [X7] :
      ( ~ neq(nil,sk4)
      | sk3 = cons(X7,nil)
      | ~ ssItem(X7)
      | hd(sk4) != X7
      | ~ ssList(cons(X7,nil))
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X6,X7] :
      ( ~ neq(nil,sk4)
      | sk3 = X6
      | ~ ssItem(X7)
      | cons(X7,nil) != X6
      | hd(sk4) != X7
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC013-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % 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 : n013.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 17:52:32 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (20622)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)
% 0.19/0.50  % (20622)First to succeed.
% 0.19/0.51  % (20641)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)
% 0.19/0.51  % (20621)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)
% 0.19/0.51  % (20621)Instruction limit reached!
% 0.19/0.51  % (20621)------------------------------
% 0.19/0.51  % (20621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (20621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (20621)Termination reason: Unknown
% 0.19/0.51  % (20621)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (20621)Memory used [KB]: 1535
% 0.19/0.51  % (20621)Time elapsed: 0.003 s
% 0.19/0.51  % (20621)Instructions burned: 4 (million)
% 0.19/0.51  % (20621)------------------------------
% 0.19/0.51  % (20621)------------------------------
% 0.19/0.51  % (20625)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)
% 0.19/0.51  % (20632)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)
% 0.19/0.51  % (20632)Instruction limit reached!
% 0.19/0.51  % (20632)------------------------------
% 0.19/0.51  % (20632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (20632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (20632)Termination reason: Unknown
% 0.19/0.51  % (20632)Termination phase: Function definition elimination
% 0.19/0.51  
% 0.19/0.51  % (20632)Memory used [KB]: 1407
% 0.19/0.51  % (20632)Time elapsed: 0.004 s
% 0.19/0.51  % (20632)Instructions burned: 4 (million)
% 0.19/0.51  % (20632)------------------------------
% 0.19/0.51  % (20632)------------------------------
% 0.19/0.51  % (20641)Also succeeded, but the first one will report.
% 0.19/0.52  % (20622)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (20622)------------------------------
% 0.19/0.52  % (20622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (20622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (20622)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (20622)Memory used [KB]: 6268
% 0.19/0.52  % (20622)Time elapsed: 0.097 s
% 0.19/0.52  % (20622)Instructions burned: 13 (million)
% 0.19/0.52  % (20622)------------------------------
% 0.19/0.52  % (20622)------------------------------
% 0.19/0.52  % (20610)Success in time 0.167 s
%------------------------------------------------------------------------------