TSTP Solution File: SWC101-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC101-1 : 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 : n018.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 18:38:48 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   39 (  12 unt;   0 def)
%            Number of atoms       :   81 (  16 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   78 (  36   ~;  38   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f295,plain,
    $false,
    inference(avatar_sat_refutation,[],[f217,f226,f227,f232,f292]) ).

fof(f292,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f290,f212]) ).

fof(f212,plain,
    ( ~ frontsegP(sk4,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_1
  <=> frontsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f290,plain,
    frontsegP(sk4,sk3),
    inference(subsumption_resolution,[],[f289,f192]) ).

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

fof(f289,plain,
    ( ~ ssList(sk5)
    | frontsegP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f288,f199]) ).

fof(f199,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(f288,plain,
    ( ~ ssList(sk3)
    | frontsegP(sk4,sk3)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f281,f201]) ).

fof(f201,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

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

fof(f281,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk5)
    | ~ ssList(sk3)
    | frontsegP(sk4,sk3) ),
    inference(superposition,[],[f207,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f207,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | frontsegP(X2,X0)
      | app(X0,X1) != X2
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f232,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f231]) ).

fof(f231,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f230,f8]) ).

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

fof(f230,plain,
    ( ~ ssList(nil)
    | spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f229,f225]) ).

fof(f225,plain,
    ( nil != sk3
    | spl0_4 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f229,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f228,f199]) ).

fof(f228,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil)
    | nil = sk3
    | spl0_2 ),
    inference(resolution,[],[f216,f100]) ).

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

fof(f216,plain,
    ( ~ neq(sk3,nil)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_2
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f227,plain,
    ( ~ spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f202,f219,f223]) ).

fof(f219,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f202,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

fof(f197,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f226,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f196,f223,f219]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f217,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f200,f214,f210]) ).

fof(f200,plain,
    ( ~ neq(sk3,nil)
    | ~ frontsegP(sk4,sk3) ),
    inference(definition_unfolding,[],[f198,f191,f190,f191]) ).

fof(f198,axiom,
    ( ~ neq(sk1,nil)
    | ~ frontsegP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC101-1 : 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
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:21:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (8385)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)
% 0.20/0.51  % (8376)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)
% 0.20/0.51  % (8386)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)
% 0.20/0.52  % (8377)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)
% 0.20/0.52  % (8386)Instruction limit reached!
% 0.20/0.52  % (8386)------------------------------
% 0.20/0.52  % (8386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (8386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8386)Termination reason: Unknown
% 0.20/0.52  % (8386)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (8386)Memory used [KB]: 6012
% 0.20/0.52  % (8386)Time elapsed: 0.004 s
% 0.20/0.52  % (8386)Instructions burned: 5 (million)
% 0.20/0.52  % (8386)------------------------------
% 0.20/0.52  % (8386)------------------------------
% 0.20/0.52  % (8387)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)
% 0.20/0.52  % (8388)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)
% 0.20/0.52  % (8378)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)
% 0.20/0.52  % (8396)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)
% 0.20/0.52  % (8379)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (8400)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)
% 0.20/0.53  % (8380)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)
% 0.20/0.53  % (8381)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (8395)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)
% 0.20/0.53  % (8374)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (8375)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)
% 0.20/0.53  % (8381)First to succeed.
% 0.20/0.53  % (8392)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.53  % (8402)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)
% 0.20/0.53  % (8403)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)
% 0.20/0.54  % (8389)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54  % (8385)Instruction limit reached!
% 0.20/0.54  % (8385)------------------------------
% 0.20/0.54  % (8385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8385)Termination reason: Unknown
% 0.20/0.54  % (8385)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (8385)Memory used [KB]: 6268
% 0.20/0.54  % (8385)Time elapsed: 0.134 s
% 0.20/0.54  % (8385)Instructions burned: 23 (million)
% 0.20/0.54  % (8385)------------------------------
% 0.20/0.54  % (8385)------------------------------
% 0.20/0.54  % (8376)Instruction limit reached!
% 0.20/0.54  % (8376)------------------------------
% 0.20/0.54  % (8376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8376)Termination reason: Unknown
% 0.20/0.54  % (8376)Termination phase: Property scanning
% 0.20/0.54  % (8387)Instruction limit reached!
% 0.20/0.54  % (8387)------------------------------
% 0.20/0.54  % (8387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  
% 0.20/0.54  % (8387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8376)Memory used [KB]: 1535
% 0.20/0.54  % (8387)Termination reason: Unknown
% 0.20/0.54  % (8376)Time elapsed: 0.005 s
% 0.20/0.54  % (8387)Termination phase: Property scanning
% 0.20/0.54  % (8376)Instructions burned: 6 (million)
% 0.20/0.54  
% 0.20/0.54  % (8376)------------------------------
% 0.20/0.54  % (8376)------------------------------
% 0.20/0.54  % (8387)Memory used [KB]: 1407
% 0.20/0.54  % (8387)Time elapsed: 0.004 s
% 0.20/0.54  % (8387)Instructions burned: 3 (million)
% 0.20/0.54  % (8387)------------------------------
% 0.20/0.54  % (8387)------------------------------
% 0.20/0.54  % (8381)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (8381)------------------------------
% 0.20/0.54  % (8381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (8381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (8381)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (8381)Memory used [KB]: 6012
% 0.20/0.54  % (8381)Time elapsed: 0.113 s
% 0.20/0.54  % (8381)Instructions burned: 5 (million)
% 0.20/0.54  % (8381)------------------------------
% 0.20/0.54  % (8381)------------------------------
% 0.20/0.54  % (8373)Success in time 0.183 s
%------------------------------------------------------------------------------