TSTP Solution File: SYN268-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN268-1 : 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 : n003.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 19:26:02 EDT 2022

% Result   : Unsatisfiable 1.66s 0.59s
% Output   : Refutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   39 (   7 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   75 (  35   ~;  34   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   7 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f764,plain,
    $false,
    inference(avatar_sat_refutation,[],[f461,f529,f583,f587,f612,f718,f763]) ).

fof(f763,plain,
    ~ spl0_44,
    inference(avatar_contradiction_clause,[],[f762]) ).

fof(f762,plain,
    ( $false
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f761,f369]) ).

fof(f369,axiom,
    ! [X0,X1] : ~ p4(a,X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f761,plain,
    ( p4(a,a,a)
    | ~ spl0_44 ),
    inference(resolution,[],[f642,f325]) ).

fof(f325,axiom,
    ! [X11,X6] :
      ( ~ k3(X11,X11,X6)
      | p4(X11,X6,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_287) ).

fof(f642,plain,
    ( k3(a,a,a)
    | ~ spl0_44 ),
    inference(resolution,[],[f243,f550]) ).

fof(f550,plain,
    ( p2(a,a,a)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f548,plain,
    ( spl0_44
  <=> p2(a,a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f243,axiom,
    ! [X8,X9] :
      ( ~ p2(X9,X8,X8)
      | k3(X8,X8,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_205) ).

fof(f718,plain,
    ( ~ spl0_9
    | ~ spl0_39
    | spl0_44 ),
    inference(avatar_contradiction_clause,[],[f717]) ).

fof(f717,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_39
    | spl0_44 ),
    inference(subsumption_resolution,[],[f697,f549]) ).

fof(f549,plain,
    ( ~ p2(a,a,a)
    | spl0_44 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f697,plain,
    ( p2(a,a,a)
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(resolution,[],[f528,f406]) ).

fof(f406,plain,
    ( p1(a,a,a)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f405,plain,
    ( spl0_9
  <=> p1(a,a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f528,plain,
    ( ! [X9,X7] :
        ( ~ p1(X7,X9,X7)
        | p2(X7,X7,X7) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f527,plain,
    ( spl0_39
  <=> ! [X9,X7] :
        ( ~ p1(X7,X9,X7)
        | p2(X7,X7,X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f612,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f611]) ).

fof(f611,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f610,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

fof(f610,plain,
    ( ! [X0] : ~ n0(X0,a)
    | spl0_9 ),
    inference(resolution,[],[f104,f407]) ).

fof(f407,plain,
    ( ~ p1(a,a,a)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f104,axiom,
    ! [X4,X5] :
      ( p1(X4,X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).

fof(f587,plain,
    ( ~ spl0_22
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f586]) ).

fof(f586,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_38 ),
    inference(resolution,[],[f525,f460]) ).

fof(f460,plain,
    ( q1(b,b,b)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl0_22
  <=> q1(b,b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f525,plain,
    ( ! [X8] : ~ q1(X8,X8,X8)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f524,plain,
    ( spl0_38
  <=> ! [X8] : ~ q1(X8,X8,X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f583,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f582]) ).

fof(f582,plain,
    ( $false
    | spl0_11 ),
    inference(subsumption_resolution,[],[f415,f9]) ).

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

fof(f415,plain,
    ( ~ r0(b)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f413,plain,
    ( spl0_11
  <=> r0(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f529,plain,
    ( spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f207,f527,f524]) ).

fof(f207,axiom,
    ! [X8,X9,X7] :
      ( ~ p1(X7,X9,X7)
      | ~ q1(X8,X8,X8)
      | p2(X7,X7,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_169) ).

fof(f461,plain,
    ( ~ spl0_11
    | spl0_22 ),
    inference(avatar_split_clause,[],[f158,f458,f413]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN268-1 : 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
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:44:22 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (16908)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)
% 0.19/0.50  % (16908)Refutation not found, incomplete strategy% (16908)------------------------------
% 0.19/0.50  % (16908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16908)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (16908)Memory used [KB]: 6140
% 0.19/0.50  % (16908)Time elapsed: 0.005 s
% 0.19/0.50  % (16908)Instructions burned: 2 (million)
% 0.19/0.50  % (16908)------------------------------
% 0.19/0.50  % (16908)------------------------------
% 0.19/0.53  % (16916)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)
% 0.19/0.54  % (16904)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.54  % (16916)Instruction limit reached!
% 0.19/0.54  % (16916)------------------------------
% 0.19/0.54  % (16916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (16916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (16916)Termination reason: Unknown
% 0.19/0.54  % (16916)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (16916)Memory used [KB]: 6524
% 0.19/0.54  % (16916)Time elapsed: 0.011 s
% 0.19/0.54  % (16916)Instructions burned: 5 (million)
% 0.19/0.54  % (16916)------------------------------
% 0.19/0.54  % (16916)------------------------------
% 0.19/0.55  % (16906)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)
% 0.19/0.56  % (16924)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)
% 0.19/0.56  % (16928)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)
% 0.19/0.56  % (16914)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)
% 0.19/0.56  % (16933)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)
% 0.19/0.57  % (16906)Instruction limit reached!
% 0.19/0.57  % (16906)------------------------------
% 0.19/0.57  % (16906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (16906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (16906)Termination reason: Unknown
% 0.19/0.57  % (16906)Termination phase: General splitting
% 0.19/0.57  
% 0.19/0.57  % (16906)Memory used [KB]: 1791
% 0.19/0.57  % (16906)Time elapsed: 0.005 s
% 0.19/0.57  % (16906)Instructions burned: 5 (million)
% 0.19/0.57  % (16906)------------------------------
% 0.19/0.57  % (16906)------------------------------
% 0.19/0.57  % (16933)Refutation not found, incomplete strategy% (16933)------------------------------
% 0.19/0.57  % (16933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (16933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (16933)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57  
% 0.19/0.57  % (16933)Memory used [KB]: 6396
% 0.19/0.57  % (16933)Time elapsed: 0.140 s
% 0.19/0.57  % (16933)Instructions burned: 5 (million)
% 0.19/0.57  % (16933)------------------------------
% 0.19/0.57  % (16933)------------------------------
% 0.19/0.57  % (16924)Instruction limit reached!
% 0.19/0.57  % (16924)------------------------------
% 0.19/0.57  % (16924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (16924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (16924)Termination reason: Unknown
% 0.19/0.57  % (16924)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (16924)Memory used [KB]: 1663
% 0.19/0.57  % (16924)Time elapsed: 0.007 s
% 0.19/0.57  % (16924)Instructions burned: 6 (million)
% 0.19/0.57  % (16924)------------------------------
% 0.19/0.57  % (16924)------------------------------
% 1.66/0.57  % (16914)Instruction limit reached!
% 1.66/0.57  % (16914)------------------------------
% 1.66/0.57  % (16914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (16914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (16914)Termination reason: Unknown
% 1.66/0.57  % (16914)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (16914)Memory used [KB]: 6140
% 1.66/0.57  % (16914)Time elapsed: 0.007 s
% 1.66/0.57  % (16914)Instructions burned: 6 (million)
% 1.66/0.57  % (16914)------------------------------
% 1.66/0.57  % (16914)------------------------------
% 1.66/0.57  % (16912)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)
% 1.66/0.58  % (16922)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)
% 1.66/0.58  % (16928)First to succeed.
% 1.66/0.58  % (16912)Instruction limit reached!
% 1.66/0.58  % (16912)------------------------------
% 1.66/0.58  % (16912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58  % (16912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58  % (16912)Termination reason: Unknown
% 1.66/0.58  % (16912)Termination phase: Saturation
% 1.66/0.58  
% 1.66/0.58  % (16912)Memory used [KB]: 1791
% 1.66/0.58  % (16912)Time elapsed: 0.005 s
% 1.66/0.58  % (16912)Instructions burned: 3 (million)
% 1.66/0.58  % (16912)------------------------------
% 1.66/0.58  % (16912)------------------------------
% 1.66/0.58  % (16932)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)
% 1.66/0.59  % (16928)Refutation found. Thanks to Tanya!
% 1.66/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.66/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.59  % (16928)------------------------------
% 1.66/0.59  % (16928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.59  % (16928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.59  % (16928)Termination reason: Refutation
% 1.66/0.59  
% 1.66/0.59  % (16928)Memory used [KB]: 6396
% 1.66/0.59  % (16928)Time elapsed: 0.163 s
% 1.66/0.59  % (16928)Instructions burned: 8 (million)
% 1.66/0.59  % (16928)------------------------------
% 1.66/0.59  % (16928)------------------------------
% 1.66/0.59  % (16903)Success in time 0.237 s
%------------------------------------------------------------------------------