TSTP Solution File: GEO032-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO032-3 : 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 : n018.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 102.68s 15.13s
% Output   : Refutation 102.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   36 (  19   ~;  16   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-6 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f556150,plain,
    $false,
    inference(unit_resulting_resolution,[],[f67,f405,f36,f405,f285933,f78]) ).

fof(f78,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,f77_D]) ).

fof(f77,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,[],[f77_D]) ).

fof(f77_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(f285933,plain,
    sP1(w,u1,v,u,w1,w1),
    inference(unit_resulting_resolution,[],[f68,f403,f404,f77]) ).

fof(f404,plain,
    equidistant(u1,v1,u,v),
    inference(unit_resulting_resolution,[],[f69,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(f69,axiom,
    equidistant(u,v,u1,v1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).

fof(f403,plain,
    ~ equidistant(v1,w1,v,w),
    inference(unit_resulting_resolution,[],[f71,f21]) ).

fof(f71,axiom,
    ~ equidistant(v,w,v1,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).

fof(f68,axiom,
    between(u1,v1,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).

fof(f36,axiom,
    ! [X3,X10] : equidistant(X10,X10,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7) ).

fof(f405,plain,
    equidistant(u1,w1,u,w),
    inference(unit_resulting_resolution,[],[f70,f21]) ).

fof(f70,axiom,
    equidistant(u,w,u1,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).

fof(f67,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO032-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 22:00:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (24966)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (24969)WARNING: value z3 for option sas not known
% 0.14/0.37  % (24970)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (24971)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)
% 0.14/0.37  % (24968)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (24973)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)
% 0.14/0.37  % (24969)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)
% 0.14/0.37  % (24972)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)
% 0.14/0.37  % (24967)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [3]
% 0.14/0.38  Detected maximum model sizes of [max]
% 0.14/0.38  TRYING [3]
% 0.20/0.41  Detected minimum model sizes of [3]
% 0.20/0.41  Detected maximum model sizes of [max]
% 0.20/0.45  TRYING [3]
% 0.20/0.48  TRYING [4]
% 6.26/1.26  TRYING [5]
% 7.75/1.47  Detected minimum model sizes of [3]
% 7.75/1.47  Detected maximum model sizes of [max]
% 7.75/1.47  TRYING [4]
% 7.75/1.48  TRYING [3]
% 7.99/1.53  TRYING [4]
% 11.46/1.99  TRYING [5]
% 45.92/6.94  TRYING [6]
% 45.92/6.98  TRYING [6]
% 77.53/11.54  TRYING [5]
% 102.68/15.09  % (24973)First to succeed.
% 102.68/15.09  % (24973)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24966"
% 102.68/15.13  % (24973)Refutation found. Thanks to Tanya!
% 102.68/15.13  % SZS status Unsatisfiable for theBenchmark
% 102.68/15.13  % SZS output start Proof for theBenchmark
% See solution above
% 102.68/15.13  % (24973)------------------------------
% 102.68/15.13  % (24973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 102.68/15.13  % (24973)Termination reason: Refutation
% 102.68/15.13  
% 102.68/15.13  % (24973)Memory used [KB]: 152804
% 102.68/15.13  % (24973)Time elapsed: 14.723 s
% 102.68/15.13  % (24973)Instructions burned: 33294 (million)
% 102.68/15.13  % (24966)Success in time 14.703 s
%------------------------------------------------------------------------------