TSTP Solution File: GEO082-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO082-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 : Tue Apr 30 11:14:00 EDT 2024

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   36 (  15 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  15   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f329,plain,
    $false,
    inference(trivial_inequality_removal,[],[f328]) ).

fof(f328,plain,
    sk14 != sk14,
    inference(superposition,[],[f51,f284]) ).

fof(f284,plain,
    sk14 = sk15,
    inference(duplicate_literal_removal,[],[f280]) ).

fof(f280,plain,
    ( sk14 = sk15
    | sk14 = sk15 ),
    inference(resolution,[],[f260,f245]) ).

fof(f245,plain,
    ( ~ incident_c(ax0_sk13(sk14,sk15),sk14)
    | sk14 = sk15 ),
    inference(factoring,[],[f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ incident_c(ax0_sk13(X0,sk15),sk14)
      | ~ incident_c(ax0_sk13(X0,sk15),X0)
      | sk15 = X0 ),
    inference(resolution,[],[f135,f49]) ).

fof(f49,axiom,
    part_of(sk14,sk15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry_67) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( ~ part_of(X2,X1)
      | X0 = X1
      | ~ incident_c(ax0_sk13(X0,X1),X2)
      | ~ incident_c(ax0_sk13(X0,X1),X0) ),
    inference(resolution,[],[f48,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( incident_c(X2,X1)
      | ~ incident_c(X2,X0)
      | ~ part_of(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_1) ).

fof(f48,axiom,
    ! [X0,X1] :
      ( ~ incident_c(ax0_sk13(X0,X1),X1)
      | ~ incident_c(ax0_sk13(X0,X1),X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9_48) ).

fof(f260,plain,
    ( incident_c(ax0_sk13(sk14,sk15),sk14)
    | sk14 = sk15 ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f256,plain,
    ( sk14 = sk15
    | incident_c(ax0_sk13(sk14,sk15),sk14)
    | sk14 = sk15 ),
    inference(resolution,[],[f255,f45]) ).

fof(f45,axiom,
    ! [X0,X1] :
      ( incident_c(ax0_sk13(X0,X1),X1)
      | incident_c(ax0_sk13(X0,X1),X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9_45) ).

fof(f255,plain,
    ( ~ incident_c(ax0_sk13(sk14,sk15),sk15)
    | sk14 = sk15 ),
    inference(resolution,[],[f247,f50]) ).

fof(f50,axiom,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry_68) ).

fof(f247,plain,
    ! [X0] :
      ( ~ part_of(X0,sk14)
      | ~ incident_c(ax0_sk13(sk14,sk15),X0)
      | sk14 = sk15 ),
    inference(resolution,[],[f245,f1]) ).

fof(f51,axiom,
    sk14 != sk15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_antisymmetry_69) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : GEO082-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Apr 30 06:00:40 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (8250)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (8253)WARNING: value z3 for option sas not known
% 0.13/0.36  % (8253)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)
% 0.13/0.36  % (8257)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)
% 0.13/0.37  % (8254)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (8252)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (8256)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)
% 0.13/0.37  % (8255)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)
% 0.13/0.37  % (8251)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [3]
% 0.13/0.38  % (8256)First to succeed.
% 0.13/0.38  % (8256)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38  % (8256)------------------------------
% 0.13/0.38  % (8256)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38  % (8256)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (8256)Memory used [KB]: 1127
% 0.13/0.38  % (8256)Time elapsed: 0.015 s
% 0.13/0.38  % (8256)Instructions burned: 27 (million)
% 0.13/0.38  % (8256)------------------------------
% 0.13/0.38  % (8256)------------------------------
% 0.13/0.38  % (8250)Success in time 0.031 s
%------------------------------------------------------------------------------