TSTP Solution File: GEO217+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO217+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n026.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 : Wed Aug 31 16:12:20 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   8 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   67 (  31   ~;  15   |;  15   &)
%                                         (   0 <=>;   6  =>;   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   :   45 (  33   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(subsumption_resolution,[],[f117,f92]) ).

fof(f92,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(f117,plain,
    convergent_lines(sK0,sK0),
    inference(resolution,[],[f111,f90]) ).

fof(f90,plain,
    ~ convergent_lines(sK2,sK0),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ~ convergent_lines(sK2,sK1)
    & ~ convergent_lines(sK2,sK0)
    & convergent_lines(sK1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f69,f70]) ).

fof(f70,plain,
    ( ? [X0,X1,X2] :
        ( ~ convergent_lines(X2,X1)
        & ~ convergent_lines(X2,X0)
        & convergent_lines(X1,X0) )
   => ( ~ convergent_lines(sK2,sK1)
      & ~ convergent_lines(sK2,sK0)
      & convergent_lines(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ? [X0,X1,X2] :
      ( ~ convergent_lines(X2,X1)
      & ~ convergent_lines(X2,X0)
      & convergent_lines(X1,X0) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ? [X1,X0,X2] :
      ( ~ convergent_lines(X2,X0)
      & ~ convergent_lines(X2,X1)
      & convergent_lines(X0,X1) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ? [X0,X1,X2] :
      ( convergent_lines(X0,X1)
      & ~ convergent_lines(X2,X0)
      & ~ convergent_lines(X2,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ~ ! [X0,X1,X2] :
        ( ( ~ convergent_lines(X2,X0)
          & ~ convergent_lines(X2,X1) )
       => ~ convergent_lines(X0,X1) ),
    inference(rectify,[],[f19]) ).

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

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

fof(f111,plain,
    ! [X0] :
      ( convergent_lines(sK2,X0)
      | convergent_lines(sK0,X0) ),
    inference(resolution,[],[f110,f87]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X2,X0)
      | convergent_lines(X0,X1)
      | convergent_lines(X2,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X2,X1)
      | ~ convergent_lines(X2,X0)
      | convergent_lines(X0,X1) ),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ! [X0,X2,X1] :
      ( convergent_lines(X1,X2)
      | ~ convergent_lines(X1,X0)
      | convergent_lines(X0,X2) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0,X2] :
      ( convergent_lines(X0,X2)
      | convergent_lines(X1,X2)
      | ~ convergent_lines(X1,X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0,X2] :
      ( convergent_lines(X1,X0)
     => ( convergent_lines(X0,X2)
        | convergent_lines(X1,X2) ) ),
    inference(rectify,[],[f6]) ).

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

fof(f110,plain,
    convergent_lines(sK0,sK2),
    inference(subsumption_resolution,[],[f103,f92]) ).

fof(f103,plain,
    ( convergent_lines(sK0,sK2)
    | convergent_lines(sK1,sK1) ),
    inference(resolution,[],[f98,f91]) ).

fof(f91,plain,
    ~ convergent_lines(sK2,sK1),
    inference(cnf_transformation,[],[f71]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( convergent_lines(sK0,X0)
      | convergent_lines(X0,X1)
      | convergent_lines(sK1,X1) ),
    inference(resolution,[],[f96,f87]) ).

fof(f96,plain,
    ! [X0] :
      ( convergent_lines(sK1,X0)
      | convergent_lines(sK0,X0) ),
    inference(resolution,[],[f87,f89]) ).

fof(f89,plain,
    convergent_lines(sK1,sK0),
    inference(cnf_transformation,[],[f71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO217+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n026.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   : Mon Aug 29 21:44:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.53  % (27512)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (27506)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (27509)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (27515)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (27510)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (27514)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (27523)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (27514)Instruction limit reached!
% 0.20/0.54  % (27514)------------------------------
% 0.20/0.54  % (27514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27514)Termination reason: Unknown
% 0.20/0.54  % (27514)Termination phase: Blocked clause elimination
% 0.20/0.54  
% 0.20/0.54  % (27514)Memory used [KB]: 895
% 0.20/0.54  % (27514)Time elapsed: 0.002 s
% 0.20/0.54  % (27514)Instructions burned: 2 (million)
% 0.20/0.54  % (27514)------------------------------
% 0.20/0.54  % (27514)------------------------------
% 0.20/0.54  % (27508)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  % (27510)First to succeed.
% 0.20/0.54  % (27511)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (27513)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (27507)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (27526)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54  % (27527)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (27507)Refutation not found, incomplete strategy% (27507)------------------------------
% 0.20/0.54  % (27507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27507)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (27507)Memory used [KB]: 5373
% 0.20/0.54  % (27507)Time elapsed: 0.133 s
% 0.20/0.54  % (27507)Instructions burned: 3 (million)
% 0.20/0.54  % (27507)------------------------------
% 0.20/0.54  % (27507)------------------------------
% 0.20/0.54  % (27524)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (27531)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  % (27530)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (27518)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (27525)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (27529)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (27519)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (27516)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (27510)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Theorem for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (27510)------------------------------
% 0.20/0.55  % (27510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (27510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (27510)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (27510)Memory used [KB]: 5500
% 0.20/0.55  % (27510)Time elapsed: 0.127 s
% 0.20/0.55  % (27510)Instructions burned: 3 (million)
% 0.20/0.55  % (27510)------------------------------
% 0.20/0.55  % (27510)------------------------------
% 0.20/0.55  % (27505)Success in time 0.191 s
%------------------------------------------------------------------------------