TSTP Solution File: GEO217+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO217+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 05:16:12 EDT 2024

% Result   : Theorem 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   62 (  34   ~;  10   |;  13   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   35 (  26   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(resolution,[],[f115,f54]) ).

fof(f54,plain,
    convergent_lines(sK1,sK2),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( convergent_lines(sK1,sK2)
    & ~ convergent_lines(sK0,sK2)
    & ~ convergent_lines(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f26,f50]) ).

fof(f50,plain,
    ( ? [X0,X1,X2] :
        ( convergent_lines(X1,X2)
        & ~ convergent_lines(X0,X2)
        & ~ convergent_lines(X0,X1) )
   => ( convergent_lines(sK1,sK2)
      & ~ convergent_lines(sK0,sK2)
      & ~ convergent_lines(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ? [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      & ~ convergent_lines(X0,X2)
      & ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ? [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      & ~ convergent_lines(X0,X2)
      & ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0,X1,X2] :
        ( ( ~ convergent_lines(X0,X2)
          & ~ convergent_lines(X0,X1) )
       => ~ convergent_lines(X1,X2) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X5,X6,X7] :
        ( ( ~ convergent_lines(X5,X7)
          & ~ convergent_lines(X5,X6) )
       => ~ convergent_lines(X6,X7) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X5,X6,X7] :
      ( ( ~ convergent_lines(X5,X7)
        & ~ convergent_lines(X5,X6) )
     => ~ convergent_lines(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f115,plain,
    ~ convergent_lines(sK1,sK2),
    inference(resolution,[],[f104,f94]) ).

fof(f94,plain,
    ~ convergent_lines(sK1,sK0),
    inference(resolution,[],[f89,f57]) ).

fof(f57,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).

fof(f89,plain,
    ! [X0] :
      ( convergent_lines(X0,sK1)
      | ~ convergent_lines(X0,sK0) ),
    inference(resolution,[],[f68,f52]) ).

fof(f52,plain,
    ~ convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f51]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X1,X2)
        | convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f104,plain,
    ! [X0] :
      ( convergent_lines(X0,sK0)
      | ~ convergent_lines(X0,sK2) ),
    inference(resolution,[],[f102,f68]) ).

fof(f102,plain,
    ~ convergent_lines(sK2,sK0),
    inference(resolution,[],[f90,f57]) ).

fof(f90,plain,
    ! [X0] :
      ( convergent_lines(X0,sK2)
      | ~ convergent_lines(X0,sK0) ),
    inference(resolution,[],[f68,f53]) ).

fof(f53,plain,
    ~ convergent_lines(sK0,sK2),
    inference(cnf_transformation,[],[f51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO217+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35  % Computer : n003.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Fri May  3 21:53:38 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.35  % (8035)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37  % (8042)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.37  % (8039)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.37  % (8040)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.37  % (8038)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.37  % (8041)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.37  % (8037)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  TRYING [1,1]
% 0.12/0.37  TRYING [1,1]
% 0.12/0.37  TRYING [2,1]
% 0.12/0.37  TRYING [2,1]
% 0.12/0.37  TRYING [3]
% 0.12/0.37  % (8036)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.37  TRYING [3,1]
% 0.12/0.37  TRYING [3,1]
% 0.12/0.37  % (8038)First to succeed.
% 0.12/0.37  % (8042)Also succeeded, but the first one will report.
% 0.12/0.37  % (8040)Also succeeded, but the first one will report.
% 0.12/0.37  Cannot enumerate next child to try in an incomplete setup
% 0.12/0.37  % (8039)Refutation not found, incomplete strategy% (8039)------------------------------
% 0.12/0.37  % (8039)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37  Cannot enumerate next child to try in an incomplete setup
% 0.12/0.37  % (8039)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37  
% 0.12/0.37  % (8039)Memory used [KB]: 835
% 0.12/0.37  % (8039)Time elapsed: 0.004 s
% 0.12/0.37  % (8039)Instructions burned: 6 (million)
% 0.12/0.37  % (8037)Refutation not found, incomplete strategy% (8037)------------------------------
% 0.12/0.37  % (8037)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37  % (8037)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37  
% 0.12/0.37  % (8037)Memory used [KB]: 834
% 0.12/0.37  % (8037)Time elapsed: 0.004 s
% 0.12/0.37  % (8037)Instructions burned: 6 (million)
% 0.12/0.37  % (8038)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8035"
% 0.12/0.37  % (8039)------------------------------
% 0.12/0.37  % (8039)------------------------------
% 0.12/0.37  % (8037)------------------------------
% 0.12/0.37  % (8037)------------------------------
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  % (8038)Refutation found. Thanks to Tanya!
% 0.12/0.37  % SZS status Theorem for theBenchmark
% 0.12/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37  % (8038)------------------------------
% 0.12/0.37  % (8038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37  % (8038)Termination reason: Refutation
% 0.12/0.37  
% 0.12/0.37  % (8038)Memory used [KB]: 865
% 0.12/0.37  % (8038)Time elapsed: 0.004 s
% 0.12/0.37  % (8038)Instructions burned: 5 (million)
% 0.12/0.37  % (8035)Success in time 0.018 s
%------------------------------------------------------------------------------