TSTP Solution File: SWC027-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC027-1 : 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_sat --cores 0 -t %d %s

% Computer : n027.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 18:41:17 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   41 (   4 unt;   0 def)
%            Number of atoms       :   94 (  25 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   98 (  45   ~;  48   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f309,plain,
    $false,
    inference(avatar_sat_refutation,[],[f248,f267,f275,f276,f281,f283,f284,f303,f308]) ).

fof(f308,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f307]) ).

fof(f307,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f247,f305,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f305,plain,
    ( memberP(nil,sk5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f280,f243]) ).

fof(f243,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f280,plain,
    ( memberP(sk4,sk5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl0_8
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f247,plain,
    ( ssItem(sk5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl0_2
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f303,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f302]) ).

fof(f302,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f301,f8]) ).

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

fof(f301,plain,
    ( ~ ssList(nil)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f300,f247]) ).

fof(f300,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f298]) ).

fof(f298,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | nil != nil
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f98,f286]) ).

fof(f286,plain,
    ( nil = cons(sk5,nil)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f271,f266]) ).

fof(f266,plain,
    ( nil = sk3
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl0_6
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f271,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl0_7
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f284,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f193,f264,f245]) ).

fof(f193,axiom,
    ( nil = sk3
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f283,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f195,f278,f241]) ).

fof(f195,axiom,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f281,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f198,f264,f278]) ).

fof(f198,axiom,
    ( nil = sk3
    | memberP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f276,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f204,f264,f241]) ).

fof(f204,plain,
    ( nil != sk3
    | nil != sk4 ),
    inference(definition_unfolding,[],[f203,f190,f191]) ).

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

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

fof(f203,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f275,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f194,f269,f241]) ).

fof(f194,axiom,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f267,plain,
    ( spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f205,f241,f264]) ).

fof(f205,plain,
    ( nil = sk4
    | nil = sk3 ),
    inference(definition_unfolding,[],[f200,f191,f190]) ).

fof(f200,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f248,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f192,f245,f241]) ).

fof(f192,axiom,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC027-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 18:14:01 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (1591)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (1616)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50  % (1593)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (1600)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (1610)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51  % (1590)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51  % (1599)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (1591)First to succeed.
% 0.20/0.51  % (1604)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (1594)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (1596)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (1598)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (1598)Instruction limit reached!
% 0.20/0.52  % (1598)------------------------------
% 0.20/0.52  % (1598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (1598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (1598)Termination reason: Unknown
% 0.20/0.52  % (1598)Termination phase: Function definition elimination
% 0.20/0.52  
% 0.20/0.52  % (1598)Memory used [KB]: 1023
% 0.20/0.52  % (1598)Time elapsed: 0.002 s
% 0.20/0.52  % (1598)Instructions burned: 2 (million)
% 0.20/0.52  % (1598)------------------------------
% 0.20/0.52  % (1598)------------------------------
% 0.20/0.52  % (1591)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (1591)------------------------------
% 0.20/0.52  % (1591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (1591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (1591)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (1591)Memory used [KB]: 5756
% 0.20/0.52  % (1591)Time elapsed: 0.111 s
% 0.20/0.52  % (1591)Instructions burned: 12 (million)
% 0.20/0.52  % (1591)------------------------------
% 0.20/0.52  % (1591)------------------------------
% 0.20/0.52  % (1585)Success in time 0.176 s
%------------------------------------------------------------------------------