TSTP Solution File: SWC092-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC092-1 : 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 : n007.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 18:38:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   44 (  22 unt;   0 def)
%            Number of atoms       :   74 (  19 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   57 (  27   ~;  27   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f866,plain,
    $false,
    inference(avatar_sat_refutation,[],[f217,f712,f843,f861]) ).

fof(f861,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f860]) ).

fof(f860,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f845,f630]) ).

fof(f630,plain,
    ~ neq(nil,nil),
    inference(unit_resulting_resolution,[],[f8,f220,f312,f193]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f312,plain,
    segmentP(sk1,nil),
    inference(unit_resulting_resolution,[],[f207,f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f207,plain,
    ssList(sk1),
    inference(backward_demodulation,[],[f188,f191]) ).

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

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

fof(f220,plain,
    segmentP(sk2,nil),
    inference(unit_resulting_resolution,[],[f187,f56]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

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

fof(f845,plain,
    ( neq(nil,nil)
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f192,f717]) ).

fof(f717,plain,
    ( nil = sk2
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl0_3
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f843,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f842,f214,f716]) ).

fof(f214,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f842,plain,
    ( nil = sk2
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f190,f216]) ).

fof(f216,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

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

fof(f712,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f711]) ).

fof(f711,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f710,f696]) ).

fof(f696,plain,
    segmentP(sk2,sk1),
    inference(forward_demodulation,[],[f695,f219]) ).

fof(f219,plain,
    sk2 = app(sk1,sk5),
    inference(forward_demodulation,[],[f218,f190]) ).

fof(f218,plain,
    sk4 = app(sk1,sk5),
    inference(forward_demodulation,[],[f195,f191]) ).

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

fof(f695,plain,
    segmentP(app(sk1,sk5),sk1),
    inference(forward_demodulation,[],[f680,f315]) ).

fof(f315,plain,
    sk1 = app(nil,sk1),
    inference(unit_resulting_resolution,[],[f207,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f680,plain,
    segmentP(app(app(nil,sk1),sk5),sk1),
    inference(unit_resulting_resolution,[],[f8,f194,f207,f207,f313,f172]) ).

fof(f172,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X0)
      | ~ segmentP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f313,plain,
    segmentP(sk1,sk1),
    inference(unit_resulting_resolution,[],[f207,f57]) ).

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

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

fof(f710,plain,
    ( ~ segmentP(sk2,sk1)
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f207,f313,f427,f193]) ).

fof(f427,plain,
    ( neq(sk1,nil)
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f207,f8,f212,f100]) ).

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

fof(f212,plain,
    ( nil != sk1
    | spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_1
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f217,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f208,f214,f210]) ).

fof(f208,plain,
    ( nil = sk4
    | nil != sk1 ),
    inference(forward_demodulation,[],[f198,f191]) ).

fof(f198,axiom,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC092-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 17:58:16 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.47  % (19330)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)
% 0.19/0.49  % (19326)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.49  % (19343)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)
% 0.19/0.49  % (19356)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)
% 0.19/0.50  % (19336)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50  % (19335)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (19334)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)
% 0.19/0.50  % (19348)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)
% 0.19/0.50  % (19354)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.51  % (19331)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (19329)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)
% 0.19/0.51  % (19334)Instruction limit reached!
% 0.19/0.51  % (19334)------------------------------
% 0.19/0.51  % (19334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (19348)Instruction limit reached!
% 0.19/0.51  % (19348)------------------------------
% 0.19/0.51  % (19348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (19348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (19348)Termination reason: Unknown
% 0.19/0.51  % (19348)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (19348)Memory used [KB]: 1535
% 0.19/0.51  % (19348)Time elapsed: 0.004 s
% 0.19/0.51  % (19348)Instructions burned: 7 (million)
% 0.19/0.51  % (19348)------------------------------
% 0.19/0.51  % (19348)------------------------------
% 0.19/0.51  % (19334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (19334)Termination reason: Unknown
% 0.19/0.51  % (19334)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (19334)Memory used [KB]: 1535
% 0.19/0.51  % (19334)Time elapsed: 0.005 s
% 0.19/0.51  % (19334)Instructions burned: 4 (million)
% 0.19/0.51  % (19334)------------------------------
% 0.19/0.51  % (19334)------------------------------
% 0.19/0.51  % (19336)Instruction limit reached!
% 0.19/0.51  % (19336)------------------------------
% 0.19/0.51  % (19336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (19336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (19336)Termination reason: Unknown
% 0.19/0.51  % (19336)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (19336)Memory used [KB]: 1535
% 0.19/0.51  % (19336)Time elapsed: 0.006 s
% 0.19/0.51  % (19336)Instructions burned: 6 (million)
% 0.19/0.51  % (19336)------------------------------
% 0.19/0.51  % (19336)------------------------------
% 0.19/0.51  % (19343)Instruction limit reached!
% 0.19/0.51  % (19343)------------------------------
% 0.19/0.51  % (19343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (19343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (19343)Termination reason: Unknown
% 0.19/0.51  % (19343)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (19343)Memory used [KB]: 1535
% 0.19/0.51  % (19343)Time elapsed: 0.003 s
% 0.19/0.51  % (19343)Instructions burned: 3 (million)
% 0.19/0.51  % (19343)------------------------------
% 0.19/0.51  % (19343)------------------------------
% 0.19/0.51  % (19339)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)
% 0.19/0.51  % (19328)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)
% 0.19/0.51  % (19351)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (19339)Instruction limit reached!
% 0.19/0.51  % (19339)------------------------------
% 0.19/0.51  % (19339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (19339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (19339)Termination reason: Unknown
% 0.19/0.51  % (19339)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (19339)Memory used [KB]: 6012
% 0.19/0.51  % (19339)Time elapsed: 0.003 s
% 0.19/0.51  % (19339)Instructions burned: 5 (million)
% 0.19/0.51  % (19339)------------------------------
% 0.19/0.51  % (19339)------------------------------
% 0.19/0.51  % (19328)Instruction limit reached!
% 0.19/0.51  % (19328)------------------------------
% 0.19/0.51  % (19328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (19328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (19328)Termination reason: Unknown
% 0.19/0.51  % (19328)Termination phase: Equality proxy
% 0.19/0.51  
% 0.19/0.51  % (19328)Memory used [KB]: 1535
% 0.19/0.51  % (19328)Time elapsed: 0.003 s
% 0.19/0.51  % (19328)Instructions burned: 5 (million)
% 0.19/0.51  % (19328)------------------------------
% 0.19/0.51  % (19328)------------------------------
% 0.19/0.51  % (19330)First to succeed.
% 0.19/0.52  % (19327)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)
% 0.19/0.52  % (19332)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  % (19356)Instruction limit reached!
% 0.19/0.52  % (19356)------------------------------
% 0.19/0.52  % (19356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (19356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (19356)Termination reason: Unknown
% 0.19/0.52  % (19356)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (19356)Memory used [KB]: 6268
% 0.19/0.52  % (19356)Time elapsed: 0.124 s
% 0.19/0.52  % (19356)Instructions burned: 21 (million)
% 0.19/0.52  % (19356)------------------------------
% 0.19/0.52  % (19356)------------------------------
% 0.19/0.52  % (19330)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (19330)------------------------------
% 0.19/0.52  % (19330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (19330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (19330)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (19330)Memory used [KB]: 6396
% 0.19/0.52  % (19330)Time elapsed: 0.124 s
% 0.19/0.52  % (19330)Instructions burned: 23 (million)
% 0.19/0.52  % (19330)------------------------------
% 0.19/0.52  % (19330)------------------------------
% 0.19/0.52  % (19319)Success in time 0.174 s
%------------------------------------------------------------------------------