TSTP Solution File: SYN109-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN109-1 : 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 : n009.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 19:25:34 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   33 (   9 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   80 (  46   ~;  30   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   5 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f577,plain,
    $false,
    inference(avatar_sat_refutation,[],[f377,f388,f428,f431,f576]) ).

fof(f576,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f575]) ).

fof(f575,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f22,f574]) ).

fof(f574,plain,
    ( ! [X0] : ~ p0(X0,c)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f568,f9]) ).

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

fof(f568,plain,
    ( ! [X0] :
        ( ~ p0(X0,c)
        | ~ r0(b) )
    | ~ spl0_1 ),
    inference(resolution,[],[f373,f45]) ).

fof(f45,axiom,
    ! [X2,X4,X5] :
      ( m1(X4,X5,X4)
      | ~ p0(X2,X5)
      | ~ r0(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_007) ).

fof(f373,plain,
    ( ! [X0] : ~ m1(X0,c,b)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f372,plain,
    ( spl0_1
  <=> ! [X0] : ~ m1(X0,c,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f22,axiom,
    p0(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

fof(f431,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f430]) ).

fof(f430,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f26,f387]) ).

fof(f387,plain,
    ( ! [X0] : ~ n0(X0,c)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl0_4
  <=> ! [X0] : ~ n0(X0,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f428,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f427]) ).

fof(f427,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f33,f389]) ).

fof(f389,plain,
    ( ! [X0] : ~ q0(X0,c)
    | ~ spl0_3 ),
    inference(resolution,[],[f384,f131]) ).

fof(f131,axiom,
    ! [X2,X5] :
      ( q1(X5,X5,X5)
      | ~ q0(X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_093) ).

fof(f384,plain,
    ( ! [X1] : ~ q1(X1,c,c)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f383,plain,
    ( spl0_3
  <=> ! [X1] : ~ q1(X1,c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).

fof(f388,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f379,f375,f386,f383]) ).

fof(f375,plain,
    ( spl0_2
  <=> ! [X1] :
        ( ~ k1(X1)
        | ~ k2(X1,c) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f379,plain,
    ( ! [X0,X1] :
        ( ~ n0(X0,c)
        | ~ q1(X1,c,c) )
    | ~ spl0_2 ),
    inference(resolution,[],[f378,f167]) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( k2(X3,X3)
      | ~ q1(X10,X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_129) ).

fof(f378,plain,
    ( ! [X0,X1] :
        ( ~ k2(X0,c)
        | ~ n0(X1,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f376,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f376,plain,
    ( ! [X1] :
        ( ~ k1(X1)
        | ~ k2(X1,c) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f377,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f370,f375,f372]) ).

fof(f370,plain,
    ! [X0,X1] :
      ( ~ k1(X1)
      | ~ k2(X1,c)
      | ~ m1(X0,c,b) ),
    inference(resolution,[],[f369,f165]) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ m1(X8,X7,X6)
      | ~ k1(X9)
      | ~ k2(X9,X7)
      | k2(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_127) ).

fof(f369,axiom,
    ~ k2(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN109-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % 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 : n009.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 21:28:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (6529)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)
% 0.18/0.47  % (6529)Instruction limit reached!
% 0.18/0.47  % (6529)------------------------------
% 0.18/0.47  % (6529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (6529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (6529)Termination reason: Unknown
% 0.18/0.47  % (6529)Termination phase: Saturation
% 0.18/0.47  
% 0.18/0.47  % (6529)Memory used [KB]: 1791
% 0.18/0.47  % (6529)Time elapsed: 0.003 s
% 0.18/0.47  % (6529)Instructions burned: 3 (million)
% 0.18/0.47  % (6529)------------------------------
% 0.18/0.47  % (6529)------------------------------
% 0.18/0.48  % (6521)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51  % (6535)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)
% 0.18/0.51  % (6528)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)
% 0.18/0.51  % (6528)Refutation not found, incomplete strategy% (6528)------------------------------
% 0.18/0.51  % (6528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (6528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (6528)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (6528)Memory used [KB]: 6140
% 0.18/0.51  % (6528)Time elapsed: 0.003 s
% 0.18/0.51  % (6528)Instructions burned: 3 (million)
% 0.18/0.51  % (6528)------------------------------
% 0.18/0.51  % (6528)------------------------------
% 0.18/0.51  % (6525)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)
% 0.18/0.51  % (6544)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)
% 0.18/0.51  % (6536)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)
% 0.18/0.52  % (6545)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)
% 0.18/0.52  % (6543)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)
% 0.18/0.52  % (6543)Refutation not found, incomplete strategy% (6543)------------------------------
% 0.18/0.52  % (6543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (6543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (6543)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (6543)Memory used [KB]: 6268
% 0.18/0.52  % (6543)Time elapsed: 0.104 s
% 0.18/0.52  % (6543)Instructions burned: 5 (million)
% 0.18/0.52  % (6543)------------------------------
% 0.18/0.52  % (6543)------------------------------
% 0.18/0.52  % (6536)Instruction limit reached!
% 0.18/0.52  % (6536)------------------------------
% 0.18/0.52  % (6536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (6536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (6536)Termination reason: Unknown
% 0.18/0.52  % (6536)Termination phase: Finite model building preprocessing
% 0.18/0.52  
% 0.18/0.52  % (6536)Memory used [KB]: 1918
% 0.18/0.52  % (6536)Time elapsed: 0.007 s
% 0.18/0.52  % (6536)Instructions burned: 6 (million)
% 0.18/0.52  % (6536)------------------------------
% 0.18/0.52  % (6536)------------------------------
% 0.18/0.52  % (6523)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)
% 0.18/0.52  % (6522)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)
% 0.18/0.52  % (6524)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)
% 0.18/0.52  % (6523)Instruction limit reached!
% 0.18/0.52  % (6523)------------------------------
% 0.18/0.52  % (6523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (6523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (6523)Termination reason: Unknown
% 0.18/0.52  % (6523)Termination phase: Property scanning
% 0.18/0.52  
% 0.18/0.52  % (6523)Memory used [KB]: 1791
% 0.18/0.52  % (6523)Time elapsed: 0.004 s
% 0.18/0.52  % (6523)Instructions burned: 6 (million)
% 0.18/0.52  % (6523)------------------------------
% 0.18/0.52  % (6523)------------------------------
% 0.18/0.52  % (6524)Refutation not found, incomplete strategy% (6524)------------------------------
% 0.18/0.52  % (6524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (6524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (6524)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (6524)Memory used [KB]: 6140
% 0.18/0.52  % (6524)Time elapsed: 0.002 s
% 0.18/0.52  % (6524)Instructions burned: 2 (million)
% 0.18/0.52  % (6524)------------------------------
% 0.18/0.52  % (6524)------------------------------
% 0.18/0.52  % (6531)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)
% 0.18/0.53  % (6527)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)
% 0.18/0.53  % (6532)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)
% 0.18/0.53  % (6530)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)
% 0.18/0.53  % (6531)Instruction limit reached!
% 0.18/0.53  % (6531)------------------------------
% 0.18/0.53  % (6531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (6531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (6531)Termination reason: Unknown
% 0.18/0.53  % (6531)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (6531)Memory used [KB]: 6140
% 0.18/0.53  % (6531)Time elapsed: 0.005 s
% 0.18/0.53  % (6531)Instructions burned: 6 (million)
% 0.18/0.53  % (6531)------------------------------
% 0.18/0.53  % (6531)------------------------------
% 0.18/0.53  % (6544)First to succeed.
% 0.18/0.53  % (6530)Refutation not found, incomplete strategy% (6530)------------------------------
% 0.18/0.53  % (6530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (6530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (6530)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (6530)Memory used [KB]: 6268
% 0.18/0.53  % (6530)Time elapsed: 0.130 s
% 0.18/0.53  % (6530)Instructions burned: 5 (million)
% 0.18/0.53  % (6530)------------------------------
% 0.18/0.53  % (6530)------------------------------
% 0.18/0.53  % (6537)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)
% 0.18/0.53  % (6544)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (6544)------------------------------
% 0.18/0.53  % (6544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (6544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (6544)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (6544)Memory used [KB]: 6652
% 0.18/0.53  % (6544)Time elapsed: 0.129 s
% 0.18/0.53  % (6544)Instructions burned: 12 (million)
% 0.18/0.53  % (6544)------------------------------
% 0.18/0.53  % (6544)------------------------------
% 0.18/0.53  % (6520)Success in time 0.188 s
%------------------------------------------------------------------------------