TSTP Solution File: SWC043-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC043-1 : 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 18:38:23 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   42 (  16 unt;   0 def)
%            Number of atoms       :   87 (  27 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   86 (  41   ~;  40   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f344,plain,
    $false,
    inference(avatar_sat_refutation,[],[f272,f288,f300,f310,f315,f343]) ).

fof(f343,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f340]) ).

fof(f340,plain,
    ( sk3 != sk3
    | ~ spl0_11 ),
    inference(superposition,[],[f203,f314]) ).

fof(f314,plain,
    ( sk3 = sk4
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f312,plain,
    ( spl0_11
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f203,plain,
    sk3 != sk4,
    inference(definition_unfolding,[],[f193,f199,f192]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f199,plain,
    nil = sk4,
    inference(definition_unfolding,[],[f190,f191]) ).

fof(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

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

fof(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f315,plain,
    ( ~ spl0_6
    | spl0_11
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f308,f297,f220,f312,f254]) ).

fof(f254,plain,
    ( spl0_6
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f220,plain,
    ( spl0_1
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f297,plain,
    ( spl0_10
  <=> sk4 = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f308,plain,
    ( ~ ssList(sk3)
    | sk3 = sk4
    | ~ ssList(sk4)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f307,f299]) ).

fof(f299,plain,
    ( sk4 = sk5
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f307,plain,
    ( sk3 = sk4
    | ~ ssList(sk5)
    | ~ ssList(sk3) ),
    inference(trivial_inequality_removal,[],[f303]) ).

fof(f303,plain,
    ( sk4 != sk4
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | sk3 = sk4 ),
    inference(superposition,[],[f205,f195]) ).

fof(f195,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f205,plain,
    ! [X0,X1] :
      ( app(X0,X1) != sk4
      | sk4 = X0
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(definition_unfolding,[],[f118,f199,f199]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f310,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f309]) ).

fof(f309,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f256,f208]) ).

fof(f208,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f8,f199]) ).

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

fof(f256,plain,
    ( ~ ssList(sk4)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f300,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_split_clause,[],[f294,f297,f224,f220]) ).

fof(f224,plain,
    ( spl0_2
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f294,plain,
    ( sk4 = sk5
    | ~ ssList(sk5)
    | ~ ssList(sk3) ),
    inference(trivial_inequality_removal,[],[f291]) ).

fof(f291,plain,
    ( sk4 = sk5
    | sk4 != sk4
    | ~ ssList(sk5)
    | ~ ssList(sk3) ),
    inference(superposition,[],[f201,f195]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( app(X0,X1) != sk4
      | ~ ssList(X1)
      | sk4 = X1
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f119,f199,f199]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | nil = X1
      | nil != app(X0,X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f288,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f226,f194]) ).

fof(f194,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f226,plain,
    ( ~ ssList(sk5)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f272,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f271]) ).

fof(f271,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f222,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f222,plain,
    ( ~ ssList(sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f220]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC043-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % 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 18:09:17 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (23289)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.51  % (23281)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)
% 0.19/0.52  % (23273)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)
% 0.19/0.52  % (23280)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)
% 0.19/0.52  % (23280)Instruction limit reached!
% 0.19/0.52  % (23280)------------------------------
% 0.19/0.52  % (23280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (23267)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53  % (23288)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)
% 0.19/0.53  % (23280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (23280)Termination reason: Unknown
% 0.19/0.53  % (23280)Termination phase: Equality resolution with deletion
% 0.19/0.53  
% 0.19/0.53  % (23280)Memory used [KB]: 1535
% 0.19/0.53  % (23280)Time elapsed: 0.004 s
% 0.19/0.53  % (23280)Instructions burned: 4 (million)
% 0.19/0.53  % (23280)------------------------------
% 0.19/0.53  % (23280)------------------------------
% 0.19/0.53  % (23296)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (23268)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.54  % (23269)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)
% 0.19/0.54  % (23271)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)
% 0.19/0.54  % (23269)Instruction limit reached!
% 0.19/0.54  % (23269)------------------------------
% 0.19/0.54  % (23269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (23269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (23269)Termination reason: Unknown
% 0.19/0.54  % (23269)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (23269)Memory used [KB]: 1535
% 0.19/0.54  % (23269)Time elapsed: 0.004 s
% 0.19/0.54  % (23269)Instructions burned: 6 (million)
% 0.19/0.54  % (23269)------------------------------
% 0.19/0.54  % (23269)------------------------------
% 0.19/0.54  % (23288)First to succeed.
% 0.19/0.54  % (23273)Also succeeded, but the first one will report.
% 0.19/0.54  % (23270)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)
% 0.19/0.54  % (23281)Also succeeded, but the first one will report.
% 0.19/0.54  % (23288)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (23288)------------------------------
% 0.19/0.54  % (23288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (23288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (23288)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (23288)Memory used [KB]: 6140
% 0.19/0.54  % (23288)Time elapsed: 0.128 s
% 0.19/0.54  % (23288)Instructions burned: 5 (million)
% 0.19/0.54  % (23288)------------------------------
% 0.19/0.54  % (23288)------------------------------
% 0.19/0.54  % (23266)Success in time 0.191 s
%------------------------------------------------------------------------------