TSTP Solution File: GEO034-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO034-3 : 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 : n019.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 05:14:43 EDT 2024

% Result   : Unsatisfiable 29.32s 4.54s
% Output   : Refutation 29.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   34 (   2 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   38 (  20   ~;  17   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-6 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f256330,plain,
    $false,
    inference(unit_resulting_resolution,[],[f69,f20,f478,f477,f99020,f79]) ).

fof(f79,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,f78_D]) ).

fof(f78,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,[],[f78_D]) ).

fof(f78_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/sandbox/benchmark/theBenchmark.p',d12) ).

fof(f99020,plain,
    sP1(v,u,v,u,x,w),
    inference(unit_resulting_resolution,[],[f69,f113,f20,f78]) ).

fof(f113,plain,
    ! [X0] : ~ equidistant(v,x,X0,X0),
    inference(unit_resulting_resolution,[],[f72,f3]) ).

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

fof(f72,axiom,
    v != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_is_x) ).

fof(f477,plain,
    equidistant(u,x,u,v),
    inference(unit_resulting_resolution,[],[f70,f21]) ).

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

fof(f70,axiom,
    equidistant(u,v,u,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u_to_x) ).

fof(f478,plain,
    equidistant(w,x,w,v),
    inference(unit_resulting_resolution,[],[f71,f21]) ).

fof(f71,axiom,
    equidistant(w,v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_v_equals_w_to_x) ).

fof(f20,axiom,
    ! [X3,X10] : equidistant(X10,X3,X10,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).

fof(f69,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO034-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34  % Computer : n019.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri May  3 21:58:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (5790)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36  % (5793)WARNING: value z3 for option sas not known
% 0.15/0.36  % (5793)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)
% 0.21/0.37  % (5792)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37  % (5794)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37  % (5791)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37  % (5796)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)
% 0.21/0.37  % (5797)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)
% 0.21/0.37  % (5795)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)
% 0.21/0.37  Detected minimum model sizes of [3]
% 0.21/0.37  Detected maximum model sizes of [max]
% 0.21/0.38  TRYING [3]
% 0.21/0.40  Detected minimum model sizes of [3]
% 0.21/0.40  Detected maximum model sizes of [max]
% 0.21/0.43  TRYING [3]
% 0.21/0.49  TRYING [4]
% 5.18/1.09  TRYING [5]
% 6.26/1.24  TRYING [4]
% 7.94/1.47  Detected minimum model sizes of [3]
% 7.94/1.47  Detected maximum model sizes of [max]
% 7.94/1.47  TRYING [3]
% 7.94/1.50  TRYING [4]
% 10.05/1.81  TRYING [5]
% 29.32/4.52  % (5797)First to succeed.
% 29.32/4.53  % (5797)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5790"
% 29.32/4.54  % (5797)Refutation found. Thanks to Tanya!
% 29.32/4.54  % SZS status Unsatisfiable for theBenchmark
% 29.32/4.54  % SZS output start Proof for theBenchmark
% See solution above
% 29.32/4.54  % (5797)------------------------------
% 29.32/4.54  % (5797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 29.32/4.54  % (5797)Termination reason: Refutation
% 29.32/4.54  
% 29.32/4.54  % (5797)Memory used [KB]: 89372
% 29.32/4.54  % (5797)Time elapsed: 4.159 s
% 29.32/4.54  % (5797)Instructions burned: 15518 (million)
% 29.32/4.54  % (5790)Success in time 4.101 s
%------------------------------------------------------------------------------