TSTP Solution File: GEO052-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO052-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n016.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 16:07:51 EDT 2022

% Result   : Unsatisfiable 0.14s 0.53s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  17   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(avatar_sat_refutation,[],[f160,f161,f170]) ).

fof(f170,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f169]) ).

fof(f169,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f163,f84]) ).

fof(f84,axiom,
    ~ between(w,v,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_w_and_x) ).

fof(f163,plain,
    ( between(w,v,x)
    | ~ spl0_1 ),
    inference(resolution,[],[f141,f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ between(u,X0,v)
      | between(X0,v,x) ),
    inference(resolution,[],[f54,f81]) ).

fof(f81,axiom,
    between(u,v,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).

fof(f54,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | ~ between(X10,X3,X5)
      | between(X3,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).

fof(f141,plain,
    ( between(u,w,v)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl0_1
  <=> between(u,w,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f161,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f147,f143,f139]) ).

fof(f143,plain,
    ( spl0_2
  <=> between(u,v,w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f147,plain,
    ( between(u,v,w)
    | between(u,w,v) ),
    inference(resolution,[],[f116,f81]) ).

fof(f116,plain,
    ! [X1] :
      ( ~ between(u,X1,x)
      | between(u,w,X1)
      | between(u,X1,w) ),
    inference(resolution,[],[f80,f82]) ).

fof(f82,axiom,
    between(u,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).

fof(f80,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | ~ between(X10,X3,X0)
      | between(X10,X5,X3)
      | between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9) ).

fof(f160,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f159]) ).

fof(f159,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f153,f83]) ).

fof(f83,axiom,
    ~ between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_not_between_v_and_x) ).

fof(f153,plain,
    ( between(v,w,x)
    | ~ spl0_2 ),
    inference(resolution,[],[f145,f90]) ).

fof(f90,plain,
    ! [X1] :
      ( ~ between(u,X1,w)
      | between(X1,w,x) ),
    inference(resolution,[],[f54,f82]) ).

fof(f145,plain,
    ( between(u,v,w)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f143]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : GEO052-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.02/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n016.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Aug 29 21:25:15 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.45  % (20266)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)
% 0.14/0.47  % (20265)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)
% 0.14/0.48  % (20282)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)
% 0.14/0.48  % (20274)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)
% 0.14/0.48  % (20281)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)
% 0.14/0.49  % (20273)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)
% 0.14/0.49  % (20274)Instruction limit reached!
% 0.14/0.49  % (20274)------------------------------
% 0.14/0.49  % (20274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (20267)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)
% 0.14/0.49  % (20274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49  % (20274)Termination reason: Unknown
% 0.14/0.49  % (20274)Termination phase: Finite model building preprocessing
% 0.14/0.49  
% 0.14/0.49  % (20274)Memory used [KB]: 5884
% 0.14/0.49  % (20274)Time elapsed: 0.008 s
% 0.14/0.49  % (20274)Instructions burned: 6 (million)
% 0.14/0.49  % (20274)------------------------------
% 0.14/0.49  % (20274)------------------------------
% 0.14/0.50  % (20261)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)
% 0.14/0.50  % (20262)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)
% 0.14/0.50  % (20261)Instruction limit reached!
% 0.14/0.50  % (20261)------------------------------
% 0.14/0.50  % (20261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50  % (20261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50  % (20261)Termination reason: Unknown
% 0.14/0.50  % (20261)Termination phase: Saturation
% 0.14/0.50  
% 0.14/0.50  % (20261)Memory used [KB]: 1407
% 0.14/0.50  % (20261)Time elapsed: 0.004 s
% 0.14/0.50  % (20261)Instructions burned: 4 (million)
% 0.14/0.50  % (20261)------------------------------
% 0.14/0.50  % (20261)------------------------------
% 0.14/0.51  % (20262)First to succeed.
% 0.14/0.51  % (20263)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)
% 0.14/0.51  % (20264)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.51  % (20277)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)
% 0.14/0.51  % (20267)Instruction limit reached!
% 0.14/0.51  % (20267)------------------------------
% 0.14/0.51  % (20267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (20267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (20267)Termination reason: Unknown
% 0.14/0.51  % (20267)Termination phase: Saturation
% 0.14/0.51  
% 0.14/0.51  % (20267)Memory used [KB]: 1407
% 0.14/0.51  % (20267)Time elapsed: 0.005 s
% 0.14/0.51  % (20267)Instructions burned: 4 (million)
% 0.14/0.51  % (20267)------------------------------
% 0.14/0.51  % (20267)------------------------------
% 0.14/0.52  % (20259)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.14/0.52  % (20279)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)
% 0.14/0.52  % (20286)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)
% 0.14/0.52  % (20280)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)
% 0.14/0.52  % (20285)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)
% 0.14/0.52  % (20271)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)
% 0.14/0.52  % (20282)Instruction limit reached!
% 0.14/0.52  % (20282)------------------------------
% 0.14/0.52  % (20282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52  % (20282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52  % (20282)Termination reason: Unknown
% 0.14/0.52  % (20282)Termination phase: Saturation
% 0.14/0.52  
% 0.14/0.52  % (20282)Memory used [KB]: 6140
% 0.14/0.52  % (20282)Time elapsed: 0.154 s
% 0.14/0.52  % (20282)Instructions burned: 38 (million)
% 0.14/0.52  % (20282)------------------------------
% 0.14/0.52  % (20282)------------------------------
% 0.14/0.53  % (20270)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)
% 0.14/0.53  % (20276)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.14/0.53  % (20275)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)
% 0.14/0.53  % (20272)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)
% 0.14/0.53  % (20275)Instruction limit reached!
% 0.14/0.53  % (20275)------------------------------
% 0.14/0.53  % (20275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53  % (20275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53  % (20275)Termination reason: Unknown
% 0.14/0.53  % (20275)Termination phase: Property scanning
% 0.14/0.53  
% 0.14/0.53  % (20275)Memory used [KB]: 1279
% 0.14/0.53  % (20275)Time elapsed: 0.003 s
% 0.14/0.53  % (20275)Instructions burned: 2 (million)
% 0.14/0.53  % (20275)------------------------------
% 0.14/0.53  % (20275)------------------------------
% 0.14/0.53  % (20287)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)
% 0.14/0.53  % (20262)Refutation found. Thanks to Tanya!
% 0.14/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.53  % (20262)------------------------------
% 0.14/0.53  % (20262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53  % (20262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53  % (20262)Termination reason: Refutation
% 0.14/0.53  
% 0.14/0.53  % (20262)Memory used [KB]: 5884
% 0.14/0.53  % (20262)Time elapsed: 0.150 s
% 0.14/0.53  % (20262)Instructions burned: 5 (million)
% 0.14/0.53  % (20262)------------------------------
% 0.14/0.53  % (20262)------------------------------
% 0.14/0.53  % (20258)Success in time 0.222 s
%------------------------------------------------------------------------------