TSTP Solution File: SWC333-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC333-1 : 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 : n017.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 18:43:12 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   37 (   7 unt;   0 def)
%            Number of atoms       :   92 (   2 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  105 (  50   ~;  48   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f293,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f250,f251,f257,f271,f276,f290,f292]) ).

fof(f292,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(unit_resulting_resolution,[],[f289,f275,f240,f270,f256,f194]) ).

fof(f194,axiom,
    ! [X6] :
      ( ~ neq(sk3,X6)
      | ~ segmentP(X6,sk3)
      | ~ totalorderedP(X6)
      | ~ segmentP(sk4,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f256,plain,
    ( neq(sk3,sk5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl0_4
  <=> neq(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f270,plain,
    ( segmentP(sk5,sk3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl0_7
  <=> segmentP(sk5,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f240,plain,
    ( segmentP(sk4,sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_1
  <=> segmentP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f275,plain,
    ( totalorderedP(sk5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f273,plain,
    ( spl0_8
  <=> totalorderedP(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f289,plain,
    ( ssList(sk5)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f287,plain,
    ( spl0_11
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f290,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f201,f287,f242,f246]) ).

fof(f246,plain,
    ( spl0_3
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f242,plain,
    ( spl0_2
  <=> totalorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f201,plain,
    ( ssList(sk5)
    | ~ totalorderedP(sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f195,f190,f191,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f195,axiom,
    ( ~ segmentP(sk2,sk1)
    | ssList(sk5)
    | ~ totalorderedP(sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f276,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f203,f242,f273,f246]) ).

fof(f203,plain,
    ( ~ totalorderedP(sk3)
    | totalorderedP(sk5)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f199,f191,f190,f191]) ).

fof(f199,axiom,
    ( ~ totalorderedP(sk1)
    | ~ segmentP(sk2,sk1)
    | totalorderedP(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f271,plain,
    ( ~ spl0_3
    | spl0_7
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f205,f242,f268,f246]) ).

fof(f205,plain,
    ( ~ totalorderedP(sk3)
    | segmentP(sk5,sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f198,f191,f190,f191,f191]) ).

fof(f198,axiom,
    ( ~ totalorderedP(sk1)
    | ~ segmentP(sk2,sk1)
    | segmentP(sk5,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f257,plain,
    ( ~ spl0_2
    | spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f200,f246,f254,f242]) ).

fof(f200,plain,
    ( ~ segmentP(sk4,sk3)
    | neq(sk3,sk5)
    | ~ totalorderedP(sk3) ),
    inference(definition_unfolding,[],[f196,f191,f191,f190,f191]) ).

fof(f196,axiom,
    ( ~ totalorderedP(sk1)
    | neq(sk1,sk5)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f251,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f193,f242]) ).

fof(f193,axiom,
    totalorderedP(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f250,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f192,f246]) ).

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f249,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f204,f246,f242,f238]) ).

fof(f204,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ totalorderedP(sk3)
    | segmentP(sk4,sk5) ),
    inference(definition_unfolding,[],[f197,f191,f190,f191,f190]) ).

fof(f197,axiom,
    ( ~ totalorderedP(sk1)
    | ~ segmentP(sk2,sk1)
    | segmentP(sk2,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC333-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:11:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (6291)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (6283)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)
% 0.20/0.53  % (6281)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  % (6302)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (6279)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  % (6278)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)
% 0.20/0.54  % (6305)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)
% 0.20/0.54  % (6296)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (6294)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)
% 0.20/0.54  % (6298)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  % (6299)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  % (6303)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (6282)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  % (6280)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  % (6290)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (6292)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)
% 0.20/0.54  % (6286)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (6288)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  % (6284)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)
% 0.20/0.55  % (6295)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56  % (6279)First to succeed.
% 0.20/0.56  % (6307)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)
% 0.20/0.56  % (6279)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (6279)------------------------------
% 0.20/0.56  % (6279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (6279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (6279)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (6279)Memory used [KB]: 5756
% 0.20/0.56  % (6279)Time elapsed: 0.139 s
% 0.20/0.56  % (6279)Instructions burned: 10 (million)
% 0.20/0.56  % (6279)------------------------------
% 0.20/0.56  % (6279)------------------------------
% 0.20/0.56  % (6274)Success in time 0.202 s
%------------------------------------------------------------------------------