TSTP Solution File: GEO037-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO037-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n007.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 16:07:45 EDT 2022

% Result   : Unsatisfiable 1.51s 0.61s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (  11 unt;   0 def)
%            Number of atoms       :   55 (  18 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   58 (  30   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f136,plain,
    $false,
    inference(subsumption_resolution,[],[f133,f25]) ).

fof(f25,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f23]) ).

fof(f23,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

fof(f133,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1),
    inference(backward_demodulation,[],[f12,f130]) ).

fof(f130,plain,
    lower_dimension_point_1 = lower_dimension_point_2,
    inference(resolution,[],[f128,f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ equidistant(X2,X2,X0,X1)
      | X0 = X1 ),
    inference(resolution,[],[f29,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).

fof(f29,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X3 = X4
      | ~ equidistant(X0,X1,X3,X4) ),
    inference(resolution,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X2,X3,X4,X5)
      | ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f128,plain,
    equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2),
    inference(superposition,[],[f5,f126]) ).

fof(f126,plain,
    v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2),
    inference(resolution,[],[f124,f1]) ).

fof(f124,plain,
    ! [X4,X5] :
      ( ~ equidistant(X4,extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
      | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolution,[],[f120,f5]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,lower_dimension_point_1,lower_dimension_point_2)
      | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
      | ~ equidistant(X0,X1,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v) ),
    inference(resolution,[],[f117,f2]) ).

fof(f117,plain,
    ( ~ equidistant(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v,lower_dimension_point_1,lower_dimension_point_2)
    | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolution,[],[f116,f1]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
      | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
      | ~ equidistant(X0,X1,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolution,[],[f113,f2]) ).

fof(f113,plain,
    ( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
    | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolution,[],[f110,f5]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ equidistant(x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),X0,X1)
      | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
      | ~ equidistant(X0,X1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
    inference(resolution,[],[f94,f1]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X2,X3,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),x)
      | ~ equidistant(X0,X1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
      | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
      | ~ equidistant(X2,X3,X0,X1) ),
    inference(resolution,[],[f90,f2]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ equidistant(extension(w,x,lower_dimension_point_1,lower_dimension_point_2),x,X0,X1)
      | ~ equidistant(X0,X1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
      | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolution,[],[f32,f1]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X2,X3,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
      | ~ equidistant(X2,X3,X0,X1)
      | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
      | ~ equidistant(X0,X1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
    inference(resolution,[],[f30,f2]) ).

fof(f30,plain,
    ! [X6,X5] :
      ( ~ equidistant(X5,X6,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
      | ~ equidistant(X5,X6,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
      | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolution,[],[f2,f28]) ).

fof(f28,plain,
    ( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
    | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(subsumption_resolution,[],[f19,f4]) ).

fof(f19,axiom,
    ( ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
    | ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
    | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lengthen) ).

fof(f12,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % 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 : n007.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   : Mon Aug 29 20:45:30 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.20/0.55  % (5131)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)
% 0.20/0.57  % (5139)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)
% 0.20/0.59  % (5132)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)
% 0.20/0.59  % (5147)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)
% 0.20/0.59  % (5132)Refutation not found, incomplete strategy% (5132)------------------------------
% 0.20/0.59  % (5132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (5132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (5132)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59  
% 0.20/0.59  % (5132)Memory used [KB]: 5884
% 0.20/0.59  % (5132)Time elapsed: 0.150 s
% 0.20/0.59  % (5132)Instructions burned: 2 (million)
% 0.20/0.59  % (5132)------------------------------
% 0.20/0.59  % (5132)------------------------------
% 1.51/0.59  % (5140)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)
% 1.51/0.59  % (5148)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)
% 1.51/0.59  TRYING [1]
% 1.51/0.60  TRYING [2]
% 1.51/0.60  % (5128)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)
% 1.51/0.60  % (5140)Instruction limit reached!
% 1.51/0.60  % (5140)------------------------------
% 1.51/0.60  % (5140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.60  % (5140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.60  % (5140)Termination reason: Unknown
% 1.51/0.60  % (5140)Termination phase: Finite model building constraint generation
% 1.51/0.60  
% 1.51/0.60  % (5140)Memory used [KB]: 6140
% 1.51/0.60  % (5140)Time elapsed: 0.167 s
% 1.51/0.60  % (5140)Instructions burned: 7 (million)
% 1.51/0.60  % (5140)------------------------------
% 1.51/0.60  % (5140)------------------------------
% 1.51/0.60  % (5127)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)
% 1.51/0.61  % (5139)First to succeed.
% 1.51/0.61  % (5139)Refutation found. Thanks to Tanya!
% 1.51/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.61  % (5139)------------------------------
% 1.51/0.61  % (5139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.61  % (5139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.61  % (5139)Termination reason: Refutation
% 1.51/0.61  
% 1.51/0.61  % (5139)Memory used [KB]: 1535
% 1.51/0.61  % (5139)Time elapsed: 0.190 s
% 1.51/0.61  % (5139)Instructions burned: 21 (million)
% 1.51/0.61  % (5139)------------------------------
% 1.51/0.61  % (5139)------------------------------
% 1.51/0.61  % (5124)Success in time 0.255 s
% 1.51/0.61  % (5129)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)
%------------------------------------------------------------------------------