TSTP Solution File: SWC118-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC118-1 : 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 18:38:55 EDT 2022

% Result   : Unsatisfiable 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   50 (  15 unt;   0 def)
%            Number of atoms       :  104 (  14 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   97 (  43   ~;  45   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f324,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f229,f230,f297,f309,f311,f313,f315,f321,f323]) ).

fof(f323,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f322]) ).

fof(f322,plain,
    ( $false
    | spl0_19 ),
    inference(resolution,[],[f320,f8]) ).

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

fof(f320,plain,
    ( ~ ssList(nil)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f318,plain,
    ( spl0_19
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f321,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_19
    | spl0_3 ),
    inference(avatar_split_clause,[],[f316,f222,f318,f250,f213]) ).

fof(f213,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f250,plain,
    ( spl0_6
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f222,plain,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f316,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk3)
    | nil = sk3
    | spl0_3 ),
    inference(resolution,[],[f224,f100]) ).

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

fof(f224,plain,
    ( ~ neq(sk3,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f315,plain,
    spl0_16,
    inference(avatar_contradiction_clause,[],[f314]) ).

fof(f314,plain,
    ( $false
    | spl0_16 ),
    inference(resolution,[],[f296,f189]) ).

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

fof(f296,plain,
    ( ~ ssList(sk4)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl0_16
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f313,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f312]) ).

fof(f312,plain,
    ( $false
    | spl0_8 ),
    inference(resolution,[],[f260,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f260,plain,
    ( ~ ssList(sk5)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl0_8
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f311,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f310]) ).

fof(f310,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f252,f204]) ).

fof(f204,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

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

fof(f252,plain,
    ( ~ ssList(sk3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f309,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f308]) ).

fof(f308,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f256,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f256,plain,
    ( ~ ssList(sk6)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl0_7
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f297,plain,
    ( ~ spl0_6
    | spl0_4
    | ~ spl0_8
    | ~ spl0_16
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f234,f254,f294,f258,f226,f250]) ).

fof(f226,plain,
    ( spl0_4
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f234,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk4)
    | ~ ssList(sk5)
    | segmentP(sk4,sk3)
    | ~ ssList(sk3) ),
    inference(superposition,[],[f209,f194]) ).

fof(f194,axiom,
    sk4 = app(app(sk5,sk3),sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(X3,X1)
      | ~ ssList(X1)
      | app(app(X0,X1),X2) != X3
      | ~ ssList(X3)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f230,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f198,f217,f213]) ).

fof(f217,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

fof(f229,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f202,f226,f222]) ).

fof(f202,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ neq(sk3,nil) ),
    inference(definition_unfolding,[],[f200,f191,f190,f191]) ).

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

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

fof(f220,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f201,f217,f213]) ).

fof(f201,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

fof(f199,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC118-1 : 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_uns --cores 0 -t %d %s
% 0.10/0.33  % Computer : n013.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Tue Aug 30 18:13:01 EDT 2022
% 0.10/0.33  % CPUTime    : 
% 0.16/0.48  % (29245)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)
% 0.16/0.48  % (29243)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.48  % (29236)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)
% 0.16/0.48  % (29244)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)
% 0.16/0.48  % (29229)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)
% 0.16/0.48  % (29247)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.16/0.49  % (29235)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.16/0.49  % (29244)First to succeed.
% 0.16/0.49  % (29251)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.16/0.49  % (29252)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)
% 0.16/0.49  % (29231)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)
% 0.16/0.49  % (29236)Instruction limit reached!
% 0.16/0.49  % (29236)------------------------------
% 0.16/0.49  % (29236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (29231)Instruction limit reached!
% 0.16/0.50  % (29231)------------------------------
% 0.16/0.50  % (29231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (29231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (29231)Termination reason: Unknown
% 0.16/0.50  % (29231)Termination phase: Property scanning
% 0.16/0.50  
% 0.16/0.50  % (29231)Memory used [KB]: 1535
% 0.16/0.50  % (29231)Time elapsed: 0.003 s
% 0.16/0.50  % (29231)Instructions burned: 3 (million)
% 0.16/0.50  % (29231)------------------------------
% 0.16/0.50  % (29231)------------------------------
% 0.16/0.50  % (29243)Instruction limit reached!
% 0.16/0.50  % (29243)------------------------------
% 0.16/0.50  % (29243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (29244)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (29244)------------------------------
% 0.16/0.50  % (29244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (29244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (29244)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (29244)Memory used [KB]: 6012
% 0.16/0.50  % (29244)Time elapsed: 0.104 s
% 0.16/0.50  % (29244)Instructions burned: 3 (million)
% 0.16/0.50  % (29244)------------------------------
% 0.16/0.50  % (29244)------------------------------
% 0.16/0.50  % (29222)Success in time 0.164 s
%------------------------------------------------------------------------------