TSTP Solution File: SYN273-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN273-1 : 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 19:26:03 EDT 2022

% Result   : Unsatisfiable 0.16s 0.49s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   39 (  10 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   91 (  50   ~;  37   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   5 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f955,plain,
    $false,
    inference(avatar_sat_refutation,[],[f395,f568,f663,f848,f942]) ).

fof(f942,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f941]) ).

fof(f941,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f940,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f940,plain,
    ( ~ l0(c)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f929,f28]) ).

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

fof(f929,plain,
    ( ~ k0(e)
    | ~ l0(c)
    | ~ spl0_6 ),
    inference(resolution,[],[f394,f59]) ).

fof(f59,axiom,
    ! [X2,X3] :
      ( m1(X2,X3,X2)
      | ~ l0(X2)
      | ~ k0(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_021) ).

fof(f394,plain,
    ( ! [X1] : ~ m1(X1,e,c)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f393,plain,
    ( spl0_6
  <=> ! [X1] : ~ m1(X1,e,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f848,plain,
    ( ~ spl0_33
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f847]) ).

fof(f847,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f846,f567]) ).

fof(f567,plain,
    ( ! [X3] : ~ q1(X3,e,e)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl0_34
  <=> ! [X3] : ~ q1(X3,e,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f846,plain,
    ( q1(e,e,e)
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f778,f5]) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f778,plain,
    ( ~ s0(b)
    | q1(e,e,e)
    | ~ spl0_33 ),
    inference(resolution,[],[f563,f150]) ).

fof(f150,axiom,
    ! [X10] :
      ( ~ s0(b)
      | ~ k1(X10)
      | q1(X10,X10,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_112) ).

fof(f563,plain,
    ( k1(e)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f562,plain,
    ( spl0_33
  <=> k1(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f663,plain,
    spl0_33,
    inference(avatar_contradiction_clause,[],[f661]) ).

fof(f661,plain,
    ( $false
    | spl0_33 ),
    inference(resolution,[],[f586,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

fof(f586,plain,
    ( ! [X0] : ~ n0(X0,e)
    | spl0_33 ),
    inference(resolution,[],[f564,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f564,plain,
    ( ~ k1(e)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f568,plain,
    ( ~ spl0_33
    | spl0_34
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f558,f390,f566,f562]) ).

fof(f390,plain,
    ( spl0_5
  <=> ! [X0] :
        ( ~ k1(X0)
        | ~ k2(X0,e) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f558,plain,
    ( ! [X3] :
        ( ~ q1(X3,e,e)
        | ~ k1(e) )
    | ~ spl0_5 ),
    inference(resolution,[],[f391,f167]) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( k2(X3,X3)
      | ~ q1(X10,X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).

fof(f391,plain,
    ( ! [X0] :
        ( ~ k2(X0,e)
        | ~ k1(X0) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f395,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f388,f393,f390]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( ~ m1(X1,e,c)
      | ~ k1(X0)
      | ~ k2(X0,e) ),
    inference(resolution,[],[f373,f165]) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ k2(X9,X7)
      | ~ m1(X8,X7,X6)
      | ~ k1(X9)
      | k2(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_127) ).

fof(f373,plain,
    ~ k2(c,e),
    inference(resolution,[],[f370,f232]) ).

fof(f232,axiom,
    ! [X9,X4] :
      ( ~ k2(X4,X9)
      | k3(X9,X9,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_194) ).

fof(f370,plain,
    ~ k3(e,e,c),
    inference(resolution,[],[f369,f325]) ).

fof(f325,axiom,
    ! [X11,X6] :
      ( ~ k3(X11,X11,X6)
      | p4(X11,X6,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_287) ).

fof(f369,axiom,
    ~ p4(e,c,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN273-1 : 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 21:49:42 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.45  % (4365)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)
% 0.16/0.45  % (4387)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)
% 0.16/0.45  % (4380)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)
% 0.16/0.45  % (4380)Instruction limit reached!
% 0.16/0.45  % (4380)------------------------------
% 0.16/0.45  % (4380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45  % (4380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.45  % (4380)Termination reason: Unknown
% 0.16/0.45  % (4380)Termination phase: Unused predicate definition removal
% 0.16/0.45  
% 0.16/0.45  % (4380)Memory used [KB]: 1663
% 0.16/0.45  % (4380)Time elapsed: 0.004 s
% 0.16/0.45  % (4380)Instructions burned: 2 (million)
% 0.16/0.45  % (4380)------------------------------
% 0.16/0.45  % (4380)------------------------------
% 0.16/0.45  % (4392)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)
% 0.16/0.45  % (4371)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)
% 0.16/0.46  % (4365)Refutation not found, incomplete strategy% (4365)------------------------------
% 0.16/0.46  % (4365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.46  % (4371)Refutation not found, incomplete strategy% (4371)------------------------------
% 0.16/0.46  % (4371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.46  % (4371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.46  % (4371)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.46  
% 0.16/0.46  % (4371)Memory used [KB]: 6140
% 0.16/0.46  % (4371)Time elapsed: 0.004 s
% 0.16/0.46  % (4371)Instructions burned: 2 (million)
% 0.16/0.46  % (4371)------------------------------
% 0.16/0.46  % (4371)------------------------------
% 0.16/0.46  % (4370)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)
% 0.16/0.47  % (4365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47  % (4365)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.47  
% 0.16/0.47  % (4365)Memory used [KB]: 2046
% 0.16/0.47  % (4365)Time elapsed: 0.081 s
% 0.16/0.47  % (4365)Instructions burned: 7 (million)
% 0.16/0.47  % (4365)------------------------------
% 0.16/0.47  % (4365)------------------------------
% 0.16/0.47  % (4364)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.16/0.47  % (4378)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)
% 0.16/0.48  % (4366)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)
% 0.16/0.48  % (4388)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)
% 0.16/0.49  % (4392)First to succeed.
% 0.16/0.49  % (4382)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)
% 0.16/0.49  % (4381)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.16/0.49  % (4377)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)
% 0.16/0.49  % (4392)Refutation found. Thanks to Tanya!
% 0.16/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49  % (4392)------------------------------
% 0.16/0.49  % (4392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (4392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (4392)Termination reason: Refutation
% 0.16/0.49  
% 0.16/0.49  % (4392)Memory used [KB]: 6780
% 0.16/0.49  % (4392)Time elapsed: 0.112 s
% 0.16/0.49  % (4392)Instructions burned: 16 (million)
% 0.16/0.49  % (4392)------------------------------
% 0.16/0.49  % (4392)------------------------------
% 0.16/0.49  % (4363)Success in time 0.159 s
%------------------------------------------------------------------------------