TSTP Solution File: SWC076-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC076-1 : 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 18:38:37 EDT 2022

% Result   : Unsatisfiable 1.76s 0.58s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   37 (  11 unt;   0 def)
%            Number of atoms       :   92 (  19 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  111 (  56   ~;  53   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f662,plain,
    $false,
    inference(avatar_sat_refutation,[],[f237,f238,f661]) ).

fof(f661,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f660]) ).

fof(f660,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f659,f188]) ).

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

fof(f659,plain,
    ( ~ ssList(sk3)
    | spl0_4 ),
    inference(resolution,[],[f658,f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f658,plain,
    ( ~ segmentP(sk3,sk3)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f657,f232]) ).

fof(f232,plain,
    ( nil != sk3
    | spl0_4 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f657,plain,
    ( nil = sk3
    | ~ segmentP(sk3,sk3) ),
    inference(subsumption_resolution,[],[f649,f188]) ).

fof(f649,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ segmentP(sk3,sk3) ),
    inference(resolution,[],[f642,f286]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ segmentP(sk4,X0)
      | ~ ssList(X0)
      | nil = X0
      | ~ segmentP(sk3,X0) ),
    inference(subsumption_resolution,[],[f285,f8]) ).

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

fof(f285,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ ssList(nil)
      | ~ segmentP(sk3,X0) ),
    inference(duplicate_literal_removal,[],[f280]) ).

fof(f280,plain,
    ! [X0] :
      ( ~ segmentP(sk3,X0)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ segmentP(sk4,X0) ),
    inference(resolution,[],[f100,f203]) ).

fof(f203,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ segmentP(sk4,X6)
      | ~ segmentP(sk3,X6) ),
    inference(definition_unfolding,[],[f192,f191,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ ssList(X6)
      | ~ segmentP(sk1,X6)
      | ~ neq(X6,nil)
      | ~ segmentP(sk2,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f642,plain,
    segmentP(sk4,sk3),
    inference(subsumption_resolution,[],[f641,f193]) ).

fof(f193,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f641,plain,
    ( ~ ssList(sk5)
    | segmentP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f640,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f640,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f639,f188]) ).

fof(f639,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | segmentP(sk4,sk3)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f626,f194]) ).

fof(f194,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f626,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | segmentP(sk4,sk3)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f206,f195]) ).

fof(f195,axiom,
    sk4 = app(app(sk5,sk3),sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f206,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | segmentP(X3,X1)
      | ~ ssList(X3)
      | app(app(X0,X1),X2) != X3
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f238,plain,
    ( spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f199,f230,f234]) ).

fof(f234,plain,
    ( spl0_5
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f199,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f237,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f204,f234,f230]) ).

fof(f204,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f190,f191]) ).

fof(f200,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : SWC076-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:11:40 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.54  % (26532)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)
% 0.19/0.54  % (26528)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)
% 0.19/0.54  % (26526)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)
% 0.19/0.54  % (26528)Instruction limit reached!
% 0.19/0.54  % (26528)------------------------------
% 0.19/0.54  % (26528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26528)Termination reason: Unknown
% 0.19/0.54  % (26528)Termination phase: shuffling
% 0.19/0.54  
% 0.19/0.54  % (26528)Memory used [KB]: 1535
% 0.19/0.54  % (26528)Time elapsed: 0.004 s
% 0.19/0.54  % (26528)Instructions burned: 4 (million)
% 0.19/0.54  % (26528)------------------------------
% 0.19/0.54  % (26528)------------------------------
% 0.19/0.55  % (26536)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (26548)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)
% 0.19/0.55  % (26544)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)
% 0.19/0.56  % (26536)Instruction limit reached!
% 0.19/0.56  % (26536)------------------------------
% 0.19/0.56  % (26536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26536)Termination reason: Unknown
% 0.19/0.56  % (26536)Termination phase: Equality resolution with deletion
% 0.19/0.56  
% 0.19/0.56  % (26536)Memory used [KB]: 1407
% 0.19/0.56  % (26536)Time elapsed: 0.006 s
% 0.19/0.56  % (26536)Instructions burned: 2 (million)
% 0.19/0.56  % (26536)------------------------------
% 0.19/0.56  % (26536)------------------------------
% 0.19/0.56  % (26534)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)
% 0.19/0.56  % (26542)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)
% 0.19/0.56  % (26532)Instruction limit reached!
% 0.19/0.56  % (26532)------------------------------
% 0.19/0.56  % (26532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26540)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)
% 0.19/0.57  % (26540)Instruction limit reached!
% 0.19/0.57  % (26540)------------------------------
% 0.19/0.57  % (26540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (26532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (26532)Termination reason: Unknown
% 0.19/0.57  % (26532)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (26532)Memory used [KB]: 6012
% 0.19/0.57  % (26532)Time elapsed: 0.006 s
% 0.19/0.57  % (26532)Instructions burned: 5 (million)
% 0.19/0.57  % (26532)------------------------------
% 0.19/0.57  % (26532)------------------------------
% 0.19/0.57  % (26540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (26540)Termination reason: Unknown
% 0.19/0.57  % (26540)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (26540)Memory used [KB]: 1535
% 0.19/0.57  % (26540)Time elapsed: 0.006 s
% 0.19/0.57  % (26540)Instructions burned: 6 (million)
% 0.19/0.57  % (26540)------------------------------
% 0.19/0.57  % (26540)------------------------------
% 0.19/0.58  % (26548)Instruction limit reached!
% 0.19/0.58  % (26548)------------------------------
% 0.19/0.58  % (26548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (26548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (26548)Termination reason: Unknown
% 0.19/0.58  % (26548)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (26548)Memory used [KB]: 6268
% 0.19/0.58  % (26548)Time elapsed: 0.142 s
% 0.19/0.58  % (26548)Instructions burned: 20 (million)
% 0.19/0.58  % (26548)------------------------------
% 0.19/0.58  % (26548)------------------------------
% 1.76/0.58  % (26520)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.76/0.58  % (26544)First to succeed.
% 1.76/0.58  % (26544)Refutation found. Thanks to Tanya!
% 1.76/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.76/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.58  % (26544)------------------------------
% 1.76/0.58  % (26544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58  % (26544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58  % (26544)Termination reason: Refutation
% 1.76/0.58  
% 1.76/0.58  % (26544)Memory used [KB]: 6268
% 1.76/0.58  % (26544)Time elapsed: 0.153 s
% 1.76/0.58  % (26544)Instructions burned: 16 (million)
% 1.76/0.58  % (26544)------------------------------
% 1.76/0.58  % (26544)------------------------------
% 1.76/0.58  % (26519)Success in time 0.23 s
%------------------------------------------------------------------------------