TSTP Solution File: GEO033-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO033-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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 : Sun May  5 05:14:42 EDT 2024

% Result   : Unsatisfiable 87.58s 12.91s
% Output   : Refutation 87.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   21 (  15 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   44 (  23   ~;  20   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-6 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f563918,plain,
    $false,
    inference(unit_resulting_resolution,[],[f72,f401246,f416,f414,f242676,f81]) ).

fof(f81,plain,
    ! [X10,X0,X11,X6,X9,X5,X12] :
      ( ~ sP1(X6,X10,X9,X11,X0,X5)
      | ~ equidistant(X5,X0,X12,X6)
      | ~ equidistant(X10,X0,X11,X6)
      | ~ equidistant(X10,X5,X11,X12)
      | ~ between(X11,X9,X12) ),
    inference(general_splitting,[],[f66,f80_D]) ).

fof(f80,plain,
    ! [X3,X10,X0,X11,X6,X9,X5] :
      ( ~ equidistant(X10,X3,X11,X9)
      | ~ between(X10,X3,X5)
      | equidistant(X3,X0,X9,X6)
      | sP1(X6,X10,X9,X11,X0,X5) ),
    inference(cnf_transformation,[],[f80_D]) ).

fof(f80_D,plain,
    ! [X5,X0,X11,X9,X10,X6] :
      ( ! [X3] :
          ( ~ equidistant(X10,X3,X11,X9)
          | ~ between(X10,X3,X5)
          | equidistant(X3,X0,X9,X6) )
    <=> ~ sP1(X6,X10,X9,X11,X0,X5) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f66,axiom,
    ! [X3,X10,X0,X11,X6,X9,X5,X12] :
      ( ~ between(X10,X3,X5)
      | ~ between(X11,X9,X12)
      | ~ equidistant(X10,X3,X11,X9)
      | ~ equidistant(X5,X0,X12,X6)
      | ~ equidistant(X10,X0,X11,X6)
      | ~ equidistant(X10,X5,X11,X12)
      | equidistant(X3,X0,X9,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12) ).

fof(f242676,plain,
    sP1(x,u1,v,u,x1,w1),
    inference(unit_resulting_resolution,[],[f73,f406,f413,f80]) ).

fof(f413,plain,
    equidistant(u1,v1,u,v),
    inference(unit_resulting_resolution,[],[f68,f21]) ).

fof(f21,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X5,X0,X10,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

fof(f68,axiom,
    equidistant(u,v,u1,v1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).

fof(f406,plain,
    ~ equidistant(v1,x1,v,x),
    inference(unit_resulting_resolution,[],[f74,f21]) ).

fof(f74,axiom,
    ~ equidistant(v,x,v1,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).

fof(f73,axiom,
    between(u1,v1,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).

fof(f414,plain,
    equidistant(u1,x1,u,x),
    inference(unit_resulting_resolution,[],[f70,f21]) ).

fof(f70,axiom,
    equidistant(u,x,u1,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_x_equals_u1_to_x1) ).

fof(f416,plain,
    equidistant(w1,x1,w,x),
    inference(unit_resulting_resolution,[],[f71,f21]) ).

fof(f71,axiom,
    equidistant(w,x,w1,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_w1_to_x1) ).

fof(f401246,plain,
    equidistant(u1,w1,u,w),
    inference(unit_resulting_resolution,[],[f72,f413,f73,f415,f37]) ).

fof(f37,axiom,
    ! [X3,X10,X11,X9,X5,X12] :
      ( ~ equidistant(X3,X5,X9,X12)
      | ~ between(X10,X3,X5)
      | ~ between(X11,X9,X12)
      | ~ equidistant(X10,X3,X11,X9)
      | equidistant(X10,X5,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).

fof(f415,plain,
    equidistant(v1,w1,v,w),
    inference(unit_resulting_resolution,[],[f69,f21]) ).

fof(f69,axiom,
    equidistant(v,w,v1,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).

fof(f72,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEO033-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Fri May  3 22:07:23 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.34  % (6218)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35  % (6222)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35  % (6221)WARNING: value z3 for option sas not known
% 0.13/0.35  % (6225)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.35  % (6220)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35  % (6219)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35  % (6221)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.35  % (6224)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.35  % (6223)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.35  Detected minimum model sizes of [3]
% 0.13/0.36  Detected maximum model sizes of [max]
% 0.18/0.36  TRYING [3]
% 0.18/0.38  Detected minimum model sizes of [3]
% 0.18/0.38  Detected maximum model sizes of [max]
% 0.18/0.42  TRYING [3]
% 0.18/0.45  TRYING [4]
% 5.80/1.18  TRYING [5]
% 7.88/1.45  Detected minimum model sizes of [3]
% 7.88/1.45  Detected maximum model sizes of [max]
% 7.88/1.46  TRYING [3]
% 8.16/1.52  TRYING [4]
% 8.53/1.61  TRYING [4]
% 11.58/2.01  TRYING [5]
% 45.58/6.88  TRYING [6]
% 53.31/8.02  TRYING [6]
% 72.27/10.69  TRYING [5]
% 87.58/12.89  % (6225)First to succeed.
% 87.58/12.89  % (6225)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6218"
% 87.58/12.91  % (6225)Refutation found. Thanks to Tanya!
% 87.58/12.91  % SZS status Unsatisfiable for theBenchmark
% 87.58/12.91  % SZS output start Proof for theBenchmark
% See solution above
% 87.58/12.91  % (6225)------------------------------
% 87.58/12.91  % (6225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 87.58/12.91  % (6225)Termination reason: Refutation
% 87.58/12.91  
% 87.58/12.91  % (6225)Memory used [KB]: 150675
% 87.58/12.91  % (6225)Time elapsed: 12.529 s
% 87.58/12.91  % (6225)Instructions burned: 34655 (million)
% 87.58/12.91  % (6218)Success in time 12.537 s
%------------------------------------------------------------------------------