TSTP Solution File: GEO007-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO007-3 : 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 : n022.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 16:07:27 EDT 2022

% Result   : Unsatisfiable 0.16s 0.52s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   44 (   3 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   36 (  16   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f456,plain,
    $false,
    inference(avatar_sat_refutation,[],[f431,f434,f454]) ).

fof(f454,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f438,f82]) ).

fof(f82,axiom,
    ~ between(d,e,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_not_between_d_and_a) ).

fof(f438,plain,
    ( between(d,e,a)
    | ~ spl0_12 ),
    inference(resolution,[],[f309,f47]) ).

fof(f47,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).

fof(f309,plain,
    ( between(a,e,d)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f307,plain,
    ( spl0_12
  <=> between(a,e,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f434,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f355,f307,f303]) ).

fof(f303,plain,
    ( spl0_11
  <=> between(a,d,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f355,plain,
    ( between(a,e,d)
    | between(a,d,e) ),
    inference(resolution,[],[f232,f88]) ).

fof(f88,plain,
    between(c,a,e),
    inference(resolution,[],[f47,f81]) ).

fof(f81,axiom,
    between(e,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_e) ).

fof(f232,plain,
    ! [X2] :
      ( ~ between(c,a,X2)
      | between(a,d,X2)
      | between(a,X2,d) ),
    inference(subsumption_resolution,[],[f225,f79]) ).

fof(f79,axiom,
    a != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).

fof(f225,plain,
    ! [X2] :
      ( between(a,d,X2)
      | between(a,X2,d)
      | ~ between(c,a,X2)
      | a = c ),
    inference(resolution,[],[f78,f87]) ).

fof(f87,plain,
    between(c,a,d),
    inference(resolution,[],[f47,f80]) ).

fof(f80,axiom,
    between(d,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_c) ).

fof(f78,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X10,X3,X0)
      | between(X3,X0,X5)
      | X3 = X10
      | between(X3,X5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b13) ).

fof(f431,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f430]) ).

fof(f430,plain,
    ( $false
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f410,f83]) ).

fof(f83,axiom,
    ~ between(e,d,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).

fof(f410,plain,
    ( between(e,d,a)
    | ~ spl0_11 ),
    inference(resolution,[],[f305,f47]) ).

fof(f305,plain,
    ( between(a,d,e)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f303]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO007-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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
% 0.11/0.31  % Computer : n022.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Aug 29 20:57:26 EDT 2022
% 0.16/0.32  % CPUTime    : 
% 0.16/0.43  % (7611)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.16/0.46  % (7623)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)
% 0.16/0.46  % (7631)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)
% 0.16/0.47  % (7631)Instruction limit reached!
% 0.16/0.47  % (7631)------------------------------
% 0.16/0.47  % (7631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47  % (7623)Instruction limit reached!
% 0.16/0.47  % (7623)------------------------------
% 0.16/0.47  % (7623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47  % (7631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47  % (7631)Termination reason: Unknown
% 0.16/0.47  % (7631)Termination phase: Saturation
% 0.16/0.47  
% 0.16/0.47  % (7631)Memory used [KB]: 1407
% 0.16/0.47  % (7631)Time elapsed: 0.005 s
% 0.16/0.47  % (7631)Instructions burned: 8 (million)
% 0.16/0.47  % (7631)------------------------------
% 0.16/0.47  % (7631)------------------------------
% 0.16/0.47  % (7623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47  % (7623)Termination reason: Unknown
% 0.16/0.47  % (7623)Termination phase: Saturation
% 0.16/0.47  
% 0.16/0.47  % (7623)Memory used [KB]: 5884
% 0.16/0.47  % (7623)Time elapsed: 0.005 s
% 0.16/0.47  % (7623)Instructions burned: 5 (million)
% 0.16/0.47  % (7623)------------------------------
% 0.16/0.47  % (7623)------------------------------
% 0.16/0.49  % (7626)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)
% 0.16/0.49  % (7614)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)
% 0.16/0.49  % (7636)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)
% 0.16/0.49  % (7628)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.16/0.50  % (7633)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)
% 0.16/0.50  % (7635)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)
% 0.16/0.50  % (7627)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)
% 0.16/0.50  % (7627)Instruction limit reached!
% 0.16/0.50  % (7627)------------------------------
% 0.16/0.50  % (7627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (7627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (7627)Termination reason: Unknown
% 0.16/0.50  % (7627)Termination phase: Property scanning
% 0.16/0.50  
% 0.16/0.50  % (7627)Memory used [KB]: 1279
% 0.16/0.50  % (7627)Time elapsed: 0.002 s
% 0.16/0.50  % (7627)Instructions burned: 2 (million)
% 0.16/0.50  % (7627)------------------------------
% 0.16/0.50  % (7627)------------------------------
% 0.16/0.50  % (7628)Instruction limit reached!
% 0.16/0.50  % (7628)------------------------------
% 0.16/0.50  % (7628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (7617)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)
% 0.16/0.50  % (7616)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.16/0.51  % (7618)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)
% 0.16/0.51  % (7634)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)
% 0.16/0.51  % (7625)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)
% 0.16/0.51  % (7628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (7628)Termination reason: Unknown
% 0.16/0.51  % (7628)Termination phase: Saturation
% 0.16/0.51  
% 0.16/0.51  % (7628)Memory used [KB]: 5884
% 0.16/0.51  % (7628)Time elapsed: 0.008 s
% 0.16/0.51  % (7628)Instructions burned: 8 (million)
% 0.16/0.51  % (7628)------------------------------
% 0.16/0.51  % (7628)------------------------------
% 0.16/0.51  % (7619)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)
% 0.16/0.51  % (7615)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)
% 0.16/0.51  % (7632)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)
% 0.16/0.51  % (7619)Instruction limit reached!
% 0.16/0.51  % (7619)------------------------------
% 0.16/0.51  % (7619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (7619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (7619)Termination reason: Unknown
% 0.16/0.51  % (7619)Termination phase: Saturation
% 0.16/0.51  
% 0.16/0.51  % (7619)Memory used [KB]: 1407
% 0.16/0.51  % (7619)Time elapsed: 0.003 s
% 0.16/0.51  % (7619)Instructions burned: 4 (million)
% 0.16/0.51  % (7619)------------------------------
% 0.16/0.51  % (7619)------------------------------
% 0.16/0.51  % (7639)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)
% 0.16/0.51  % (7613)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)
% 0.16/0.51  % (7613)Instruction limit reached!
% 0.16/0.51  % (7613)------------------------------
% 0.16/0.51  % (7613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (7613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (7613)Termination reason: Unknown
% 0.16/0.51  % (7613)Termination phase: Saturation
% 0.16/0.51  
% 0.16/0.51  % (7613)Memory used [KB]: 1407
% 0.16/0.51  % (7613)Time elapsed: 0.004 s
% 0.16/0.51  % (7613)Instructions burned: 5 (million)
% 0.16/0.51  % (7613)------------------------------
% 0.16/0.51  % (7613)------------------------------
% 0.16/0.51  % (7626)Instruction limit reached!
% 0.16/0.51  % (7626)------------------------------
% 0.16/0.51  % (7626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (7626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (7626)Termination reason: Unknown
% 0.16/0.51  % (7626)Termination phase: Finite model building preprocessing
% 0.16/0.51  
% 0.16/0.51  % (7626)Memory used [KB]: 5884
% 0.16/0.51  % (7626)Time elapsed: 0.006 s
% 0.16/0.51  % (7626)Instructions burned: 6 (million)
% 0.16/0.51  % (7626)------------------------------
% 0.16/0.51  % (7626)------------------------------
% 0.16/0.52  % (7621)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)
% 0.16/0.52  % (7622)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)
% 0.16/0.52  % (7624)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)
% 0.16/0.52  % (7637)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)
% 0.16/0.52  % (7621)Instruction limit reached!
% 0.16/0.52  % (7621)------------------------------
% 0.16/0.52  % (7621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (7621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (7621)Termination reason: Unknown
% 0.16/0.52  % (7621)Termination phase: Saturation
% 0.16/0.52  
% 0.16/0.52  % (7621)Memory used [KB]: 5884
% 0.16/0.52  % (7621)Time elapsed: 0.004 s
% 0.16/0.52  % (7621)Instructions burned: 6 (million)
% 0.16/0.52  % (7621)------------------------------
% 0.16/0.52  % (7621)------------------------------
% 0.16/0.52  % (7624)Instruction limit reached!
% 0.16/0.52  % (7624)------------------------------
% 0.16/0.52  % (7624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (7614)First to succeed.
% 0.16/0.52  % (7614)Refutation found. Thanks to Tanya!
% 0.16/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52  % (7614)------------------------------
% 0.16/0.52  % (7614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (7614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (7614)Termination reason: Refutation
% 0.16/0.52  
% 0.16/0.52  % (7614)Memory used [KB]: 6012
% 0.16/0.52  % (7614)Time elapsed: 0.139 s
% 0.16/0.52  % (7614)Instructions burned: 15 (million)
% 0.16/0.52  % (7614)------------------------------
% 0.16/0.52  % (7614)------------------------------
% 0.16/0.52  % (7610)Success in time 0.195 s
%------------------------------------------------------------------------------