TSTP Solution File: GEO018-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO018-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 05:14:09 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   7   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,plain,
    $false,
    inference(resolution,[],[f56,f22]) ).

fof(f22,axiom,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

fof(f56,plain,
    ~ equidistant(u,v,w,x),
    inference(resolution,[],[f51,f21]) ).

fof(f21,axiom,
    ! [X3,X10,X0,X5] :
      ( equidistant(X3,X10,X5,X0)
      | ~ equidistant(X10,X3,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).

fof(f51,plain,
    ~ equidistant(v,u,w,x),
    inference(resolution,[],[f41,f20]) ).

fof(f20,axiom,
    ! [X3,X10,X0,X5] :
      ( equidistant(X5,X0,X10,X3)
      | ~ equidistant(X10,X3,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

fof(f41,plain,
    ~ equidistant(w,x,v,u),
    inference(resolution,[],[f21,f31]) ).

fof(f31,plain,
    ~ equidistant(x,w,v,u),
    inference(resolution,[],[f20,f23]) ).

fof(f23,axiom,
    ~ equidistant(v,u,x,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO018-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n022.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 21:55:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (22191)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (22197)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  % (22194)WARNING: value z3 for option sas not known
% 0.14/0.37  % (22198)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  % (22193)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  % (22195)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (22196)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  % (22194)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  % (22197)First to succeed.
% 0.14/0.37  TRYING [1]
% 0.14/0.37  % (22197)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22191"
% 0.14/0.37  TRYING [2]
% 0.14/0.37  % (22192)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (22198)Also succeeded, but the first one will report.
% 0.14/0.37  % (22197)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (22197)------------------------------
% 0.14/0.37  % (22197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (22197)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (22197)Memory used [KB]: 788
% 0.14/0.37  % (22197)Time elapsed: 0.005 s
% 0.14/0.37  % (22197)Instructions burned: 4 (million)
% 0.14/0.37  % (22191)Success in time 0.018 s
%------------------------------------------------------------------------------