TSTP Solution File: SWC352-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC352-1 : 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 : n019.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 18:43:19 EDT 2022

% Result   : Unsatisfiable 0.16s 0.54s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   42 (  10 unt;   0 def)
%            Number of atoms       :   87 (  14 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   77 (  32   ~;  38   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f494,plain,
    $false,
    inference(avatar_sat_refutation,[],[f262,f264,f273,f274,f300,f322,f435,f471]) ).

fof(f471,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f470]) ).

fof(f470,plain,
    ( $false
    | spl0_1
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f443,f232]) ).

fof(f232,plain,
    ( ~ neq(sk4,nil)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl0_1
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f443,plain,
    ( neq(sk4,nil)
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f299,f272]) ).

fof(f272,plain,
    ( nil = sk3
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl0_10
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f299,plain,
    ( neq(sk4,sk3)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl0_13
  <=> neq(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f435,plain,
    ( spl0_9
    | spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f434,f239,f230,f266]) ).

fof(f266,plain,
    ( spl0_9
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f239,plain,
    ( spl0_3
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f434,plain,
    ( nil = sk4
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f415,f232]) ).

fof(f415,plain,
    ( neq(sk4,nil)
    | nil = sk4
    | ~ spl0_3 ),
    inference(resolution,[],[f240,f280]) ).

fof(f280,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | neq(sk4,X1)
      | sk4 = X1 ),
    inference(resolution,[],[f100,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

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

fof(f240,plain,
    ( ssList(nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f322,plain,
    ( spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f320,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f320,plain,
    ( ~ ssList(sk3)
    | spl0_8
    | ~ spl0_12 ),
    inference(resolution,[],[f303,f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f303,plain,
    ( ~ frontsegP(sk3,sk3)
    | spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f260,f290]) ).

fof(f290,plain,
    ( sk3 = sk4
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f288,plain,
    ( spl0_12
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f260,plain,
    ( ~ frontsegP(sk4,sk3)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl0_8
  <=> frontsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f300,plain,
    ( spl0_13
    | spl0_12 ),
    inference(avatar_split_clause,[],[f294,f288,f297]) ).

fof(f294,plain,
    ( sk3 = sk4
    | neq(sk4,sk3) ),
    inference(resolution,[],[f280,f188]) ).

fof(f274,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f8,f239]) ).

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

fof(f273,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f193,f270,f266]) ).

fof(f193,axiom,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f264,plain,
    ~ spl0_8,
    inference(avatar_split_clause,[],[f196,f259]) ).

fof(f196,plain,
    ~ frontsegP(sk4,sk3),
    inference(definition_unfolding,[],[f192,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(f192,axiom,
    ~ frontsegP(sk2,sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f262,plain,
    ( spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f230,f259]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC352-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n019.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 18:53:35 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.16/0.49  % (24626)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.49  % (24620)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)
% 0.16/0.50  % (24634)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)
% 0.16/0.50  % (24628)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)
% 0.16/0.50  % (24642)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.50  % (24629)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.50  % (24621)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.51  % (24621)Instruction limit reached!
% 0.16/0.51  % (24621)------------------------------
% 0.16/0.51  % (24621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (24637)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.51  % (24636)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.53  TRYING [1]
% 0.16/0.53  % (24621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (24621)Termination reason: Unknown
% 0.16/0.53  % (24621)Termination phase: Saturation
% 0.16/0.53  
% 0.16/0.53  % (24621)Memory used [KB]: 5628
% 0.16/0.53  % (24621)Time elapsed: 0.109 s
% 0.16/0.53  % (24621)Instructions burned: 7 (million)
% 0.16/0.53  % (24621)------------------------------
% 0.16/0.53  % (24621)------------------------------
% 0.16/0.53  % (24615)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)
% 0.16/0.53  TRYING [2]
% 0.16/0.53  % (24622)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.53  % (24622)Instruction limit reached!
% 0.16/0.53  % (24622)------------------------------
% 0.16/0.53  % (24622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (24622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (24622)Termination reason: Unknown
% 0.16/0.53  % (24622)Termination phase: Unused predicate definition removal
% 0.16/0.53  
% 0.16/0.53  % (24622)Memory used [KB]: 1023
% 0.16/0.53  % (24622)Time elapsed: 0.003 s
% 0.16/0.53  % (24622)Instructions burned: 2 (million)
% 0.16/0.53  % (24622)------------------------------
% 0.16/0.53  % (24622)------------------------------
% 0.16/0.54  % (24637)First to succeed.
% 0.16/0.54  % (24636)Also succeeded, but the first one will report.
% 0.16/0.54  % (24637)Refutation found. Thanks to Tanya!
% 0.16/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.54  % (24637)------------------------------
% 0.16/0.54  % (24637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54  % (24637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54  % (24637)Termination reason: Refutation
% 0.16/0.54  
% 0.16/0.54  % (24637)Memory used [KB]: 5884
% 0.16/0.54  % (24637)Time elapsed: 0.136 s
% 0.16/0.54  % (24637)Instructions burned: 16 (million)
% 0.16/0.54  % (24637)------------------------------
% 0.16/0.54  % (24637)------------------------------
% 0.16/0.54  % (24613)Success in time 0.205 s
%------------------------------------------------------------------------------