TSTP Solution File: SYN209-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN209-1 : 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 : n029.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 19:25:52 EDT 2022

% Result   : Unsatisfiable 1.56s 0.55s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (   6 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (  35   ~;  22   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f429,plain,
    $false,
    inference(avatar_sat_refutation,[],[f382,f422,f428]) ).

fof(f428,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f423]) ).

fof(f423,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f378,f7]) ).

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

fof(f378,plain,
    ( ! [X2] : ~ n0(X2,b)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_1
  <=> ! [X2] : ~ n0(X2,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f422,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f416,f9]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f416,plain,
    ( ~ r0(b)
    | ~ spl0_2 ),
    inference(resolution,[],[f403,f158]) ).

fof(f158,axiom,
    ( q1(b,b,b)
    | ~ r0(b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_120) ).

fof(f403,plain,
    ( ~ q1(b,b,b)
    | ~ spl0_2 ),
    inference(resolution,[],[f388,f192]) ).

fof(f192,axiom,
    ! [X10] :
      ( p2(X10,X10,X10)
      | ~ q1(X10,X10,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_154) ).

fof(f388,plain,
    ( ~ p2(b,b,b)
    | ~ spl0_2 ),
    inference(condensation,[],[f387]) ).

fof(f387,plain,
    ( ! [X2] :
        ( ~ p2(X2,b,b)
        | ~ p2(b,b,b) )
    | ~ spl0_2 ),
    inference(resolution,[],[f383,f276]) ).

fof(f276,axiom,
    ! [X2] :
      ( m3(X2,X2,X2)
      | ~ p2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_238) ).

fof(f383,plain,
    ( ! [X2,X0,X1] :
        ( ~ m3(b,X0,X1)
        | ~ p2(X2,b,X1) )
    | ~ spl0_2 ),
    inference(resolution,[],[f381,f289]) ).

fof(f289,axiom,
    ! [X10,X11,X6,X7] :
      ( p3(X10,X11,X11)
      | ~ m3(X11,X6,X7)
      | ~ p2(X10,X11,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_251) ).

fof(f381,plain,
    ( ! [X0,X1] : ~ p3(X0,b,X1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl0_2
  <=> ! [X0,X1] : ~ p3(X0,b,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f382,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f375,f380,f377]) ).

fof(f375,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X0,b,X1)
      | ~ n0(X2,b) ),
    inference(resolution,[],[f374,f40]) ).

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

fof(f374,plain,
    ! [X2,X0,X1] :
      ( ~ l1(b,X1)
      | ~ p3(X0,X1,X2) ),
    inference(resolution,[],[f369,f337]) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( s4(X10)
      | ~ p3(X11,X6,X7)
      | ~ l1(X10,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).

fof(f369,axiom,
    ~ s4(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN209-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 21:47:12 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.49  % (26841)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.17/0.50  % (26861)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.17/0.50  % (26851)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)
% 0.17/0.51  % (26861)Refutation not found, incomplete strategy% (26861)------------------------------
% 0.17/0.51  % (26861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (26861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (26861)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51  
% 0.17/0.51  % (26861)Memory used [KB]: 6268
% 0.17/0.51  % (26861)Time elapsed: 0.068 s
% 0.17/0.51  % (26861)Instructions burned: 7 (million)
% 0.17/0.51  % (26861)------------------------------
% 0.17/0.51  % (26861)------------------------------
% 0.17/0.51  % (26843)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)
% 0.17/0.51  % (26858)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)
% 0.17/0.51  % (26851)Instruction limit reached!
% 0.17/0.51  % (26851)------------------------------
% 0.17/0.51  % (26851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (26851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (26851)Termination reason: Unknown
% 0.17/0.51  % (26851)Termination phase: Finite model building preprocessing
% 0.17/0.51  
% 0.17/0.51  % (26851)Memory used [KB]: 1918
% 0.17/0.51  % (26851)Time elapsed: 0.010 s
% 0.17/0.51  % (26851)Instructions burned: 7 (million)
% 0.17/0.51  % (26851)------------------------------
% 0.17/0.51  % (26851)------------------------------
% 0.17/0.51  % (26849)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)
% 0.17/0.51  % (26843)Refutation not found, incomplete strategy% (26843)------------------------------
% 0.17/0.51  % (26843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (26843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (26843)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51  
% 0.17/0.51  % (26843)Memory used [KB]: 6140
% 0.17/0.51  % (26843)Time elapsed: 0.006 s
% 0.17/0.51  % (26843)Instructions burned: 2 (million)
% 0.17/0.51  % (26843)------------------------------
% 0.17/0.51  % (26843)------------------------------
% 0.17/0.51  % (26858)Refutation not found, incomplete strategy% (26858)------------------------------
% 0.17/0.51  % (26858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (26849)Instruction limit reached!
% 0.17/0.51  % (26849)------------------------------
% 0.17/0.51  % (26849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (26849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (26849)Termination reason: Unknown
% 0.17/0.51  % (26849)Termination phase: shuffling
% 0.17/0.51  
% 0.17/0.51  % (26849)Memory used [KB]: 1663
% 0.17/0.51  % (26849)Time elapsed: 0.005 s
% 0.17/0.51  % (26849)Instructions burned: 3 (million)
% 0.17/0.51  % (26849)------------------------------
% 0.17/0.51  % (26849)------------------------------
% 0.17/0.51  % (26858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (26858)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51  
% 0.17/0.51  % (26858)Memory used [KB]: 6268
% 0.17/0.51  % (26858)Time elapsed: 0.006 s
% 0.17/0.51  % (26858)Instructions burned: 4 (million)
% 0.17/0.51  % (26858)------------------------------
% 0.17/0.51  % (26858)------------------------------
% 0.17/0.52  % (26838)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)
% 0.17/0.52  % (26836)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.17/0.52  % (26838)Instruction limit reached!
% 0.17/0.52  % (26838)------------------------------
% 0.17/0.52  % (26838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (26838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (26838)Termination reason: Unknown
% 0.17/0.52  % (26838)Termination phase: General splitting
% 0.17/0.52  
% 0.17/0.52  % (26838)Memory used [KB]: 1791
% 0.17/0.52  % (26838)Time elapsed: 0.004 s
% 0.17/0.52  % (26838)Instructions burned: 4 (million)
% 0.17/0.52  % (26838)------------------------------
% 0.17/0.52  % (26838)------------------------------
% 0.17/0.52  % (26840)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)
% 0.17/0.52  % (26841)Instruction limit reached!
% 0.17/0.52  % (26841)------------------------------
% 0.17/0.52  % (26841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (26841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (26841)Termination reason: Unknown
% 0.17/0.52  % (26841)Termination phase: Saturation
% 0.17/0.52  
% 0.17/0.52  % (26841)Memory used [KB]: 7036
% 0.17/0.52  % (26841)Time elapsed: 0.115 s
% 0.17/0.52  % (26841)Instructions burned: 25 (million)
% 0.17/0.52  % (26841)------------------------------
% 0.17/0.52  % (26841)------------------------------
% 0.17/0.53  % (26837)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)
% 0.17/0.53  % (26862)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)
% 0.17/0.53  % (26840)Refutation not found, incomplete strategy% (26840)------------------------------
% 0.17/0.53  % (26840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (26840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (26840)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53  
% 0.17/0.53  % (26840)Memory used [KB]: 6140
% 0.17/0.53  % (26840)Time elapsed: 0.003 s
% 0.17/0.53  % (26840)Instructions burned: 3 (million)
% 0.17/0.53  % (26840)------------------------------
% 0.17/0.53  % (26840)------------------------------
% 0.17/0.53  % (26839)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)
% 0.17/0.53  % (26854)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)
% 0.17/0.54  % (26853)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.17/0.54  % (26854)First to succeed.
% 0.17/0.54  % (26842)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)
% 0.17/0.54  % (26846)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)
% 0.17/0.54  % (26846)Instruction limit reached!
% 0.17/0.54  % (26846)------------------------------
% 0.17/0.54  % (26846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (26846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (26846)Termination reason: Unknown
% 0.17/0.54  % (26846)Termination phase: Saturation
% 0.17/0.54  
% 0.17/0.54  % (26846)Memory used [KB]: 6140
% 0.17/0.54  % (26846)Time elapsed: 0.005 s
% 0.17/0.54  % (26846)Instructions burned: 6 (million)
% 0.17/0.54  % (26846)------------------------------
% 0.17/0.54  % (26846)------------------------------
% 0.17/0.54  % (26848)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)
% 0.17/0.55  % (26845)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)
% 0.17/0.55  % (26862)Refutation not found, incomplete strategy% (26862)------------------------------
% 0.17/0.55  % (26862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55  % (26862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55  % (26862)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.55  
% 0.17/0.55  % (26862)Memory used [KB]: 6396
% 0.17/0.55  % (26862)Time elapsed: 0.158 s
% 0.17/0.55  % (26862)Instructions burned: 9 (million)
% 0.17/0.55  % (26862)------------------------------
% 0.17/0.55  % (26862)------------------------------
% 0.17/0.55  % (26839)Refutation not found, incomplete strategy% (26839)------------------------------
% 0.17/0.55  % (26839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55  % (26839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55  % (26839)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.55  
% 0.17/0.55  % (26839)Memory used [KB]: 6140
% 0.17/0.55  % (26839)Time elapsed: 0.005 s
% 0.17/0.55  % (26839)Instructions burned: 3 (million)
% 0.17/0.55  % (26839)------------------------------
% 0.17/0.55  % (26839)------------------------------
% 0.17/0.55  % (26863)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)
% 1.56/0.55  % (26845)Refutation not found, incomplete strategy% (26845)------------------------------
% 1.56/0.55  % (26845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (26863)Refutation not found, incomplete strategy% (26863)------------------------------
% 1.56/0.55  % (26863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (26863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (26863)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.55  % (26854)Refutation found. Thanks to Tanya!
% 1.56/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.56/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.55  % (26854)------------------------------
% 1.56/0.55  % (26854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (26854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (26854)Termination reason: Refutation
% 1.56/0.55  
% 1.56/0.55  % (26854)Memory used [KB]: 10874
% 1.56/0.55  % (26854)Time elapsed: 0.148 s
% 1.56/0.55  % (26854)Instructions burned: 5 (million)
% 1.56/0.55  % (26854)------------------------------
% 1.56/0.55  % (26854)------------------------------
% 1.56/0.55  % (26835)Success in time 0.217 s
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