TSTP Solution File: GEO085-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO085-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 : Mon May 20 20:14:26 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :   40 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  21   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f95,plain,
    $false,
    inference(resolution,[],[f93,f49]) ).

fof(f49,axiom,
    open(sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_67) ).

fof(f93,plain,
    ~ open(sk14),
    inference(resolution,[],[f92,f72]) ).

fof(f72,plain,
    ( end_point(ax0_sk6(sk14),sk14)
    | ~ open(sk14) ),
    inference(superposition,[],[f33,f69]) ).

fof(f69,plain,
    ax0_sk6(sk14) = ax0_sk7(sk14),
    inference(resolution,[],[f68,f49]) ).

fof(f68,plain,
    ( ~ open(sk14)
    | ax0_sk6(sk14) = ax0_sk7(sk14) ),
    inference(resolution,[],[f66,f33]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ end_point(X0,sk14)
      | ax0_sk6(sk14) = ax0_sk7(sk14) ),
    inference(resolution,[],[f64,f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ~ closed(X0)
      | ~ end_point(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn_31) ).

fof(f64,plain,
    ( closed(sk14)
    | ax0_sk6(sk14) = ax0_sk7(sk14) ),
    inference(resolution,[],[f62,f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( end_point(ax0_sk6(X0),X0)
      | closed(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn_32) ).

fof(f62,plain,
    ! [X0] :
      ( ~ end_point(X0,sk14)
      | ax0_sk7(sk14) = X0 ),
    inference(resolution,[],[f59,f49]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ open(sk14)
      | ~ end_point(X0,sk14)
      | ax0_sk7(sk14) = X0 ),
    inference(resolution,[],[f33,f50]) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ~ end_point(X1,sk14)
      | ~ end_point(X0,sk14)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_68) ).

fof(f33,axiom,
    ! [X0] :
      ( end_point(ax0_sk7(X0),X0)
      | ~ open(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn_33) ).

fof(f92,plain,
    ~ end_point(ax0_sk6(sk14),sk14),
    inference(trivial_inequality_removal,[],[f90]) ).

fof(f90,plain,
    ( ax0_sk6(sk14) != ax0_sk6(sk14)
    | ~ end_point(ax0_sk6(sk14),sk14) ),
    inference(superposition,[],[f42,f87]) ).

fof(f87,plain,
    ax0_sk6(sk14) = ax0_sk11(ax0_sk6(sk14),sk14),
    inference(resolution,[],[f81,f49]) ).

fof(f81,plain,
    ( ~ open(sk14)
    | ax0_sk6(sk14) = ax0_sk11(ax0_sk6(sk14),sk14) ),
    inference(resolution,[],[f78,f72]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ end_point(X0,sk14)
      | ax0_sk6(sk14) = ax0_sk11(X0,sk14) ),
    inference(resolution,[],[f41,f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ end_point(X0,sk14)
      | ax0_sk6(sk14) = X0 ),
    inference(backward_demodulation,[],[f62,f69]) ).

fof(f41,axiom,
    ! [X0,X1] :
      ( end_point(ax0_sk11(X0,X1),X1)
      | ~ end_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6_41) ).

fof(f42,axiom,
    ! [X0,X1] :
      ( ax0_sk11(X0,X1) != X0
      | ~ end_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6_42) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO085-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 13:56:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (7873)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (7876)WARNING: value z3 for option sas not known
% 0.15/0.38  % (7874)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (7877)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (7875)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (7878)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)
% 0.15/0.38  % (7879)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)
% 0.15/0.38  % (7880)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)
% 0.15/0.38  % (7876)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  % (7879)First to succeed.
% 0.15/0.38  % (7879)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7873"
% 0.15/0.38  % (7876)Also succeeded, but the first one will report.
% 0.15/0.38  % (7879)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (7879)------------------------------
% 0.15/0.38  % (7879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (7879)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (7879)Memory used [KB]: 863
% 0.15/0.38  % (7879)Time elapsed: 0.005 s
% 0.15/0.38  % (7879)Instructions burned: 6 (million)
% 0.15/0.38  % (7873)Success in time 0.023 s
%------------------------------------------------------------------------------