TSTP Solution File: SYN220-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN220-1 : TPTP v8.1.0. Released v1.1.0.
% 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 19:25:54 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (   6 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   62 (  32   ~;  26   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   5 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f957,plain,
    $false,
    inference(avatar_sat_refutation,[],[f407,f475,f676,f901,f955]) ).

fof(f955,plain,
    ( ~ spl0_8
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f954]) ).

fof(f954,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f949,f474]) ).

fof(f474,plain,
    ( ! [X0] : ~ q2(b,X0,b)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f473,plain,
    ( spl0_21
  <=> ! [X0] : ~ q2(b,X0,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f949,plain,
    ( q2(b,b,b)
    | ~ spl0_8 ),
    inference(resolution,[],[f405,f224]) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( q2(X4,X4,X5)
      | ~ l1(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).

fof(f405,plain,
    ( l1(b,b)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl0_8
  <=> l1(b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f901,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f896]) ).

fof(f896,plain,
    ( $false
    | spl0_8 ),
    inference(resolution,[],[f533,f7]) ).

fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f533,plain,
    ( ! [X1] : ~ n0(X1,b)
    | spl0_8 ),
    inference(resolution,[],[f406,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).

fof(f406,plain,
    ( ~ l1(b,b)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f676,plain,
    spl0_20,
    inference(avatar_contradiction_clause,[],[f675]) ).

fof(f675,plain,
    ( $false
    | spl0_20 ),
    inference(subsumption_resolution,[],[f674,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f674,plain,
    ( ~ p0(b,b)
    | spl0_20 ),
    inference(resolution,[],[f471,f163]) ).

fof(f163,axiom,
    ! [X2] :
      ( s1(X2)
      | ~ p0(X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).

fof(f471,plain,
    ( ~ s1(b)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f469,plain,
    ( spl0_20
  <=> s1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f475,plain,
    ( ~ spl0_20
    | spl0_21
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f466,f401,f473,f469]) ).

fof(f401,plain,
    ( spl0_7
  <=> ! [X0] : ~ s2(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f466,plain,
    ( ! [X0] :
        ( ~ q2(b,X0,b)
        | ~ s1(b) )
    | ~ spl0_7 ),
    inference(resolution,[],[f402,f227]) ).

fof(f227,axiom,
    ! [X5] :
      ( s2(X5)
      | ~ q2(b,X5,b)
      | ~ s1(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_189) ).

fof(f402,plain,
    ( ! [X0] : ~ s2(X0)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f407,plain,
    ( spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f371,f404,f401]) ).

fof(f371,plain,
    ! [X0] :
      ( ~ l1(b,b)
      | ~ s2(X0) ),
    inference(resolution,[],[f369,f258]) ).

fof(f258,axiom,
    ! [X4,X5] :
      ( ~ l1(X4,X4)
      | l3(X4,X4)
      | ~ s2(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_220) ).

fof(f369,axiom,
    ! [X0] : ~ l3(X0,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN220-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:22:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.52  % (6409)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)
% 0.20/0.52  % (6416)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)
% 0.20/0.52  % (6429)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)
% 0.20/0.52  % (6408)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)
% 0.20/0.52  % (6415)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  % (6406)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (6421)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)
% 0.20/0.53  % (6409)Instruction limit reached!
% 0.20/0.53  % (6409)------------------------------
% 0.20/0.53  % (6409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6402)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  % (6409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6409)Termination reason: Unknown
% 0.20/0.53  % (6409)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (6409)Memory used [KB]: 1791
% 0.20/0.53  % (6409)Time elapsed: 0.004 s
% 0.20/0.53  % (6409)Instructions burned: 3 (million)
% 0.20/0.53  % (6410)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)
% 0.20/0.53  % (6409)------------------------------
% 0.20/0.53  % (6409)------------------------------
% 0.20/0.53  % (6416)Instruction limit reached!
% 0.20/0.53  % (6416)------------------------------
% 0.20/0.53  % (6416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6416)Termination reason: Unknown
% 0.20/0.53  % (6416)Termination phase: Finite model building preprocessing
% 0.20/0.53  
% 0.20/0.53  % (6416)Memory used [KB]: 1918
% 0.20/0.53  % (6416)Time elapsed: 0.009 s
% 0.20/0.53  % (6416)Instructions burned: 7 (million)
% 0.20/0.53  % (6416)------------------------------
% 0.20/0.53  % (6416)------------------------------
% 0.20/0.53  % (6405)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)
% 0.20/0.53  % (6424)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)
% 0.20/0.53  % (6421)Instruction limit reached!
% 0.20/0.53  % (6421)------------------------------
% 0.20/0.53  % (6421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6405)Refutation not found, incomplete strategy% (6405)------------------------------
% 0.20/0.53  % (6405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6405)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (6405)Memory used [KB]: 6140
% 0.20/0.53  % (6405)Time elapsed: 0.003 s
% 0.20/0.53  % (6405)Instructions burned: 2 (million)
% 0.20/0.53  % (6405)------------------------------
% 0.20/0.53  % (6405)------------------------------
% 0.20/0.53  % (6421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6421)Termination reason: Unknown
% 0.20/0.53  % (6421)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (6421)Memory used [KB]: 1791
% 0.20/0.53  % (6421)Time elapsed: 0.008 s
% 0.20/0.53  % (6421)Instructions burned: 7 (million)
% 0.20/0.53  % (6421)------------------------------
% 0.20/0.53  % (6421)------------------------------
% 0.20/0.53  % (6425)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)
% 0.20/0.53  % (6403)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)
% 0.20/0.54  % (6404)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)
% 0.20/0.54  % (6403)Instruction limit reached!
% 0.20/0.54  % (6403)------------------------------
% 0.20/0.54  % (6403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6425)Refutation not found, incomplete strategy% (6425)------------------------------
% 0.20/0.54  % (6425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6428)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.54  % (6417)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)
% 0.20/0.54  % (6407)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)
% 0.20/0.54  % (6417)Instruction limit reached!
% 0.20/0.54  % (6417)------------------------------
% 0.20/0.54  % (6417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6417)Termination reason: Unknown
% 0.20/0.54  % (6417)Termination phase: shuffling
% 0.20/0.54  
% 0.20/0.54  % (6417)Memory used [KB]: 1663
% 0.20/0.54  % (6417)Time elapsed: 0.004 s
% 0.20/0.54  % (6417)Instructions burned: 2 (million)
% 0.20/0.54  % (6417)------------------------------
% 0.20/0.54  % (6417)------------------------------
% 0.20/0.54  % (6429)First to succeed.
% 0.20/0.54  % (6418)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (6419)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)
% 0.20/0.54  % (6410)Refutation not found, incomplete strategy% (6410)------------------------------
% 0.20/0.54  % (6410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6408)Refutation not found, incomplete strategy% (6408)------------------------------
% 0.20/0.54  % (6408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6408)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (6408)Memory used [KB]: 6140
% 0.20/0.54  % (6408)Time elapsed: 0.005 s
% 0.20/0.54  % (6408)Instructions burned: 3 (million)
% 0.20/0.54  % (6408)------------------------------
% 0.20/0.54  % (6408)------------------------------
% 0.20/0.54  % (6425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6425)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (6425)Memory used [KB]: 6396
% 0.20/0.54  % (6425)Time elapsed: 0.132 s
% 0.20/0.54  % (6425)Instructions burned: 5 (million)
% 0.20/0.54  % (6425)------------------------------
% 0.20/0.54  % (6425)------------------------------
% 0.20/0.54  % (6420)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)
% 0.20/0.54  % (6401)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (6404)Refutation not found, incomplete strategy% (6404)------------------------------
% 0.20/0.54  % (6404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6403)Termination reason: Unknown
% 0.20/0.54  % (6410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6410)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (6410)Memory used [KB]: 6396
% 0.20/0.54  % (6410)Time elapsed: 0.144 s
% 0.20/0.54  % (6410)Instructions burned: 3 (million)
% 0.20/0.54  % (6410)------------------------------
% 0.20/0.54  % (6410)------------------------------
% 0.20/0.54  % (6403)Termination phase: General splitting
% 0.20/0.54  
% 0.20/0.54  % (6403)Memory used [KB]: 1791
% 0.20/0.54  % (6403)Time elapsed: 0.003 s
% 0.20/0.54  % (6403)Instructions burned: 4 (million)
% 0.20/0.54  % (6403)------------------------------
% 0.20/0.54  % (6403)------------------------------
% 0.20/0.54  % (6413)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)
% 0.20/0.54  % (6423)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)
% 0.20/0.54  % (6422)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)
% 0.20/0.54  % (6402)Also succeeded, but the first one will report.
% 0.20/0.54  % (6429)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
% 0.20/0.55  % (6429)------------------------------
% 0.20/0.55  % (6429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (6429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (6429)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (6429)Memory used [KB]: 6780
% 0.20/0.55  % (6429)Time elapsed: 0.138 s
% 0.20/0.55  % (6429)Instructions burned: 16 (million)
% 0.20/0.55  % (6429)------------------------------
% 0.20/0.55  % (6429)------------------------------
% 0.20/0.55  % (6400)Success in time 0.192 s
%------------------------------------------------------------------------------