TSTP Solution File: GEO146+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% 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 16:12:00 EDT 2022

% Result   : Theorem 1.41s 0.55s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   39 (   1 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   97 (  39   ~;  39   |;   8   &)
%                                         (   9 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   47 (  35   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f380,plain,
    $false,
    inference(avatar_sat_refutation,[],[f309,f310,f352,f379]) ).

fof(f379,plain,
    ( ~ spl27_1
    | spl27_2 ),
    inference(avatar_contradiction_clause,[],[f378]) ).

fof(f378,plain,
    ( $false
    | ~ spl27_1
    | spl27_2 ),
    inference(subsumption_resolution,[],[f372,f307]) ).

fof(f307,plain,
    ( ~ connect(sK19,sK21,sK20)
    | spl27_2 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f306,plain,
    ( spl27_2
  <=> connect(sK19,sK21,sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).

fof(f372,plain,
    ( connect(sK19,sK21,sK20)
    | ~ spl27_1 ),
    inference(resolution,[],[f362,f239]) ).

fof(f239,plain,
    ! [X2,X0,X1] :
      ( ~ once(at_the_same_time(at(X2,X1),at(X0,X1)))
      | connect(X2,X0,X1) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( ( once(at_the_same_time(at(X2,X1),at(X0,X1)))
        | ~ connect(X2,X0,X1) )
      & ( connect(X2,X0,X1)
        | ~ once(at_the_same_time(at(X2,X1),at(X0,X1))) ) ),
    inference(rectify,[],[f141]) ).

fof(f141,plain,
    ! [X2,X1,X0] :
      ( ( once(at_the_same_time(at(X0,X1),at(X2,X1)))
        | ~ connect(X0,X2,X1) )
      & ( connect(X0,X2,X1)
        | ~ once(at_the_same_time(at(X0,X1),at(X2,X1))) ) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X2,X1,X0] :
      ( once(at_the_same_time(at(X0,X1),at(X2,X1)))
    <=> connect(X0,X2,X1) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X11,X2,X12] :
      ( once(at_the_same_time(at(X11,X2),at(X12,X2)))
    <=> connect(X11,X12,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn) ).

fof(f362,plain,
    ( once(at_the_same_time(at(sK19,sK20),at(sK21,sK20)))
    | ~ spl27_1 ),
    inference(resolution,[],[f353,f274]) ).

fof(f274,plain,
    ! [X0,X1] :
      ( ~ once(at_the_same_time(X1,X0))
      | once(at_the_same_time(X0,X1)) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ( once(at_the_same_time(X0,X1))
        | ~ once(at_the_same_time(X1,X0)) )
      & ( once(at_the_same_time(X1,X0))
        | ~ once(at_the_same_time(X0,X1)) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( once(at_the_same_time(X0,X1))
    <=> once(at_the_same_time(X1,X0)) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X14,X13] :
      ( once(at_the_same_time(X14,X13))
    <=> once(at_the_same_time(X13,X14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_at_the_same_time) ).

fof(f353,plain,
    ( once(at_the_same_time(at(sK21,sK20),at(sK19,sK20)))
    | ~ spl27_1 ),
    inference(resolution,[],[f304,f240]) ).

fof(f240,plain,
    ! [X2,X0,X1] :
      ( ~ connect(X2,X0,X1)
      | once(at_the_same_time(at(X2,X1),at(X0,X1))) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f304,plain,
    ( connect(sK21,sK19,sK20)
    | ~ spl27_1 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f302,plain,
    ( spl27_1
  <=> connect(sK21,sK19,sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).

fof(f352,plain,
    ( spl27_1
    | ~ spl27_2 ),
    inference(avatar_contradiction_clause,[],[f351]) ).

fof(f351,plain,
    ( $false
    | spl27_1
    | ~ spl27_2 ),
    inference(subsumption_resolution,[],[f345,f303]) ).

fof(f303,plain,
    ( ~ connect(sK21,sK19,sK20)
    | spl27_1 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f345,plain,
    ( connect(sK21,sK19,sK20)
    | ~ spl27_2 ),
    inference(resolution,[],[f329,f239]) ).

fof(f329,plain,
    ( once(at_the_same_time(at(sK21,sK20),at(sK19,sK20)))
    | ~ spl27_2 ),
    inference(resolution,[],[f274,f320]) ).

fof(f320,plain,
    ( once(at_the_same_time(at(sK19,sK20),at(sK21,sK20)))
    | ~ spl27_2 ),
    inference(resolution,[],[f240,f308]) ).

fof(f308,plain,
    ( connect(sK19,sK21,sK20)
    | ~ spl27_2 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f310,plain,
    ( ~ spl27_2
    | ~ spl27_1 ),
    inference(avatar_split_clause,[],[f280,f302,f306]) ).

fof(f280,plain,
    ( ~ connect(sK21,sK19,sK20)
    | ~ connect(sK19,sK21,sK20) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ( ( ~ connect(sK21,sK19,sK20)
      | ~ connect(sK19,sK21,sK20) )
    & ( connect(sK21,sK19,sK20)
      | connect(sK19,sK21,sK20) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21])],[f182,f183]) ).

fof(f183,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ connect(X2,X0,X1)
          | ~ connect(X0,X2,X1) )
        & ( connect(X2,X0,X1)
          | connect(X0,X2,X1) ) )
   => ( ( ~ connect(sK21,sK19,sK20)
        | ~ connect(sK19,sK21,sK20) )
      & ( connect(sK21,sK19,sK20)
        | connect(sK19,sK21,sK20) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f182,plain,
    ? [X0,X1,X2] :
      ( ( ~ connect(X2,X0,X1)
        | ~ connect(X0,X2,X1) )
      & ( connect(X2,X0,X1)
        | connect(X0,X2,X1) ) ),
    inference(rectify,[],[f181]) ).

fof(f181,plain,
    ? [X2,X0,X1] :
      ( ( ~ connect(X1,X2,X0)
        | ~ connect(X2,X1,X0) )
      & ( connect(X1,X2,X0)
        | connect(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f90,plain,
    ? [X2,X0,X1] :
      ( connect(X2,X1,X0)
    <~> connect(X1,X2,X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ~ ! [X2,X1,X0] :
        ( connect(X1,X2,X0)
      <=> connect(X2,X1,X0) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X2,X11,X12] :
        ( connect(X12,X11,X2)
      <=> connect(X11,X12,X2) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X2,X11,X12] :
      ( connect(X12,X11,X2)
    <=> connect(X11,X12,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12) ).

fof(f309,plain,
    ( spl27_1
    | spl27_2 ),
    inference(avatar_split_clause,[],[f279,f306,f302]) ).

fof(f279,plain,
    ( connect(sK19,sK21,sK20)
    | connect(sK21,sK19,sK20) ),
    inference(cnf_transformation,[],[f184]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 29 21:35:05 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.51  % (25399)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.51  % (25391)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52  % (25381)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (25397)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)
% 0.21/0.52  % (25389)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53  % (25380)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)
% 0.21/0.53  % (25383)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)
% 0.21/0.53  % (25381)First to succeed.
% 0.21/0.53  % (25382)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)
% 0.21/0.53  % (25402)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53  % (25404)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.53  % (25378)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)
% 0.21/0.53  % (25405)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54  % (25379)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)
% 0.21/0.54  % (25377)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)
% 0.21/0.54  % (25395)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (25398)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54  % (25388)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (25403)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54  % (25387)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (25394)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54  % (25393)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.54  % (25396)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)
% 1.41/0.54  % (25406)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.41/0.54  % (25378)Refutation not found, incomplete strategy% (25378)------------------------------
% 1.41/0.54  % (25378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (25392)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.41/0.55  TRYING [1]
% 1.41/0.55  % (25390)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.55  TRYING [2]
% 1.41/0.55  % (25385)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.55  % (25384)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.55  % (25385)Instruction limit reached!
% 1.41/0.55  % (25385)------------------------------
% 1.41/0.55  % (25385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (25385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (25385)Termination reason: Unknown
% 1.41/0.55  % (25385)Termination phase: Preprocessing 3
% 1.41/0.55  
% 1.41/0.55  % (25385)Memory used [KB]: 1023
% 1.41/0.55  % (25385)Time elapsed: 0.003 s
% 1.41/0.55  % (25385)Instructions burned: 3 (million)
% 1.41/0.55  % (25385)------------------------------
% 1.41/0.55  % (25385)------------------------------
% 1.41/0.55  % (25386)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)
% 1.41/0.55  % (25381)Refutation found. Thanks to Tanya!
% 1.41/0.55  % SZS status Theorem for theBenchmark
% 1.41/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.55  % (25381)------------------------------
% 1.41/0.55  % (25381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (25381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (25381)Termination reason: Refutation
% 1.41/0.55  
% 1.41/0.55  % (25381)Memory used [KB]: 5628
% 1.41/0.55  % (25381)Time elapsed: 0.129 s
% 1.41/0.55  % (25381)Instructions burned: 9 (million)
% 1.41/0.55  % (25381)------------------------------
% 1.41/0.55  % (25381)------------------------------
% 1.41/0.55  % (25375)Success in time 0.189 s
%------------------------------------------------------------------------------