TSTP Solution File: SWC206-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC206-1 : 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 : n008.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 18:39:36 EDT 2022

% Result   : Unsatisfiable 1.61s 0.58s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   33 (  16 unt;   0 def)
%            Number of atoms       :   58 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   54 (  29   ~;  24   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,plain,
    $false,
    inference(avatar_sat_refutation,[],[f325,f343]) ).

fof(f343,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f335,f256]) ).

fof(f256,plain,
    ~ neq(nil,nil),
    inference(resolution,[],[f225,f8]) ).

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

fof(f225,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f215,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

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

fof(f335,plain,
    ( neq(nil,nil)
    | ~ spl0_2 ),
    inference(superposition,[],[f243,f333]) ).

fof(f333,plain,
    ( nil = sk5
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f332,f233]) ).

fof(f233,plain,
    ssList(sk5),
    inference(subsumption_resolution,[],[f195,f231]) ).

fof(f231,plain,
    neq(sk4,nil),
    inference(forward_demodulation,[],[f192,f190]) ).

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

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

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

fof(f332,plain,
    ( nil = sk5
    | ~ ssList(sk5)
    | ~ spl0_2 ),
    inference(resolution,[],[f328,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f328,plain,
    ( segmentP(nil,sk5)
    | ~ spl0_2 ),
    inference(superposition,[],[f245,f241]) ).

fof(f241,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f245,plain,
    segmentP(sk3,sk5),
    inference(subsumption_resolution,[],[f198,f231]) ).

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

fof(f243,plain,
    neq(sk5,nil),
    inference(subsumption_resolution,[],[f196,f231]) ).

fof(f196,axiom,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f325,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f322,f239]) ).

fof(f322,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f320,f8]) ).

fof(f320,plain,
    ( ~ ssList(nil)
    | nil = sk3 ),
    inference(resolution,[],[f269,f232]) ).

fof(f232,plain,
    ~ neq(sk3,nil),
    inference(forward_demodulation,[],[f193,f191]) ).

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

fof(f193,axiom,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f269,plain,
    ! [X3] :
      ( neq(sk3,X3)
      | ~ ssList(X3)
      | sk3 = X3 ),
    inference(resolution,[],[f100,f188]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC206-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n008.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 18:37:55 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 1.33/0.54  % (13185)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.33/0.55  % (13204)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.56  % (13188)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)
% 1.61/0.56  % (13196)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.61/0.57  % (13193)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)
% 1.61/0.57  % (13190)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.61/0.57  % (13196)First to succeed.
% 1.61/0.57  % (13204)Instruction limit reached!
% 1.61/0.57  % (13204)------------------------------
% 1.61/0.57  % (13204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (13204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57  % (13204)Termination reason: Unknown
% 1.61/0.57  % (13204)Termination phase: Saturation
% 1.61/0.57  
% 1.61/0.57  % (13204)Memory used [KB]: 1535
% 1.61/0.57  % (13204)Time elapsed: 0.008 s
% 1.61/0.57  % (13204)Instructions burned: 7 (million)
% 1.61/0.57  % (13204)------------------------------
% 1.61/0.57  % (13204)------------------------------
% 1.61/0.57  % (13193)Instruction limit reached!
% 1.61/0.57  % (13193)------------------------------
% 1.61/0.57  % (13193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (13193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57  % (13193)Termination reason: Unknown
% 1.61/0.57  % (13193)Termination phase: Property scanning
% 1.61/0.57  
% 1.61/0.57  % (13193)Memory used [KB]: 1535
% 1.61/0.57  % (13193)Time elapsed: 0.005 s
% 1.61/0.57  % (13193)Instructions burned: 4 (million)
% 1.61/0.57  % (13193)------------------------------
% 1.61/0.57  % (13193)------------------------------
% 1.61/0.58  % (13202)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.61/0.58  % (13185)Also succeeded, but the first one will report.
% 1.61/0.58  % (13196)Refutation found. Thanks to Tanya!
% 1.61/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.61/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.58  % (13196)------------------------------
% 1.61/0.58  % (13196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.58  % (13196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.58  % (13196)Termination reason: Refutation
% 1.61/0.58  
% 1.61/0.58  % (13196)Memory used [KB]: 6140
% 1.61/0.58  % (13196)Time elapsed: 0.143 s
% 1.61/0.58  % (13196)Instructions burned: 10 (million)
% 1.61/0.58  % (13196)------------------------------
% 1.61/0.58  % (13196)------------------------------
% 1.61/0.58  % (13184)Success in time 0.231 s
%------------------------------------------------------------------------------