TSTP Solution File: GEO021-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO021-2 : 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_sat --cores 0 -t %d %s

% Computer : n026.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 16:11:33 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (  22   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_4,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_5,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_6,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f146,plain,
    $false,
    inference(subsumption_resolution,[],[f144,f32]) ).

fof(f32,plain,
    ~ equidistant(x,w,v,u),
    inference(literal_reordering,[],[f20]) ).

fof(f20,axiom,
    ~ equidistant(x,w,v,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry) ).

fof(f144,plain,
    equidistant(x,w,v,u),
    inference(resolution,[],[f100,f79]) ).

fof(f79,plain,
    ! [X2,X3,X4,X5] :
      ( ~ equidistant(X3,X2,X4,X5)
      | equidistant(X2,X3,X4,X5) ),
    inference(resolution,[],[f22,f25]) ).

fof(f25,plain,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    inference(literal_reordering,[],[f1]) ).

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

fof(f22,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X5)
      | ~ equidistant(X0,X1,X4,X5) ),
    inference(literal_reordering,[],[f2]) ).

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

fof(f100,plain,
    equidistant(w,x,v,u),
    inference(resolution,[],[f78,f25]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,v,X0,X1)
      | equidistant(w,x,X0,X1) ),
    inference(resolution,[],[f22,f37]) ).

fof(f37,plain,
    equidistant(u,v,w,x),
    inference(literal_reordering,[],[f19]) ).

fof(f19,axiom,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO021-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 21:20:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  % (6819)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.50  % (6805)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.51  % (6811)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (6821)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (6819)First to succeed.
% 0.21/0.51  TRYING [1]
% 0.21/0.51  % (6813)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51  TRYING [2]
% 0.21/0.51  TRYING [1]
% 0.21/0.51  TRYING [2]
% 0.21/0.52  TRYING [3]
% 0.21/0.52  TRYING [3]
% 0.21/0.52  % (6827)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.52  % (6813)Instruction limit reached!
% 0.21/0.52  % (6813)------------------------------
% 0.21/0.52  % (6813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (6813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (6813)Termination reason: Unknown
% 0.21/0.52  % (6813)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (6813)Memory used [KB]: 895
% 0.21/0.52  % (6813)Time elapsed: 0.003 s
% 0.21/0.52  % (6813)Instructions burned: 2 (million)
% 0.21/0.52  % (6813)------------------------------
% 0.21/0.52  % (6813)------------------------------
% 0.21/0.52  % (6806)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52  % (6819)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (6819)------------------------------
% 0.21/0.52  % (6819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (6819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (6819)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (6819)Memory used [KB]: 5884
% 0.21/0.52  % (6819)Time elapsed: 0.009 s
% 0.21/0.52  % (6819)Instructions burned: 10 (million)
% 0.21/0.52  % (6819)------------------------------
% 0.21/0.52  % (6819)------------------------------
% 0.21/0.52  % (6804)Success in time 0.16 s
%------------------------------------------------------------------------------