TSTP Solution File: SWC050-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC050-1 : 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 : n008.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 18:41:24 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   34 (   5 unt;   0 def)
%            Number of atoms       :   91 (   2 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  114 (  57   ~;  51   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1260,plain,
    $false,
    inference(avatar_sat_refutation,[],[f254,f269,f288,f294,f306,f322,f1249]) ).

fof(f1249,plain,
    ( ~ spl1_2
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10 ),
    inference(avatar_contradiction_clause,[],[f1248]) ).

fof(f1248,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f1247,f258]) ).

fof(f258,plain,
    ( neq(sk5,nil)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl1_3
  <=> neq(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f1247,plain,
    ( ~ neq(sk5,nil)
    | ~ spl1_2
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f1246,f263]) ).

fof(f263,plain,
    ( ssList(sk5)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl1_4
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f1246,plain,
    ( ~ ssList(sk5)
    | ~ neq(sk5,nil)
    | ~ spl1_2
    | ~ spl1_5
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f1242,f292]) ).

fof(f292,plain,
    ( rearsegP(sk4,sk5)
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl1_10
  <=> rearsegP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f1242,plain,
    ( ~ rearsegP(sk4,sk5)
    | ~ neq(sk5,nil)
    | ~ ssList(sk5)
    | ~ spl1_2
    | ~ spl1_5 ),
    inference(resolution,[],[f253,f268]) ).

fof(f268,plain,
    ( rearsegP(sk3,sk5)
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl1_5
  <=> rearsegP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f253,plain,
    ( ! [X6] :
        ( ~ rearsegP(sk3,X6)
        | ~ neq(X6,nil)
        | ~ rearsegP(sk4,X6)
        | ~ ssList(X6) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl1_2
  <=> ! [X6] :
        ( ~ ssList(X6)
        | ~ rearsegP(sk4,X6)
        | ~ neq(X6,nil)
        | ~ rearsegP(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f322,plain,
    ( spl1_3
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f201,f248,f256]) ).

fof(f248,plain,
    ( spl1_1
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f201,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f306,plain,
    ( ~ spl1_1
    | spl1_10 ),
    inference(avatar_split_clause,[],[f202,f290,f248]) ).

fof(f202,axiom,
    ( rearsegP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f294,plain,
    ( ~ spl1_1
    | spl1_4 ),
    inference(avatar_split_clause,[],[f200,f261,f248]) ).

fof(f200,axiom,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f288,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f241,f248]) ).

fof(f241,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f212,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

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

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f269,plain,
    ( ~ spl1_1
    | spl1_5 ),
    inference(avatar_split_clause,[],[f203,f266,f248]) ).

fof(f203,axiom,
    ( rearsegP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f254,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f207,f252,f248]) ).

fof(f207,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | ~ rearsegP(sk3,X6)
      | ~ neq(sk4,nil)
      | ~ neq(X6,nil)
      | ~ rearsegP(sk4,X6) ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

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

fof(f199,axiom,
    ! [X6] :
      ( ~ neq(sk4,nil)
      | ~ neq(X6,nil)
      | ~ rearsegP(sk1,X6)
      | ~ ssList(X6)
      | ~ rearsegP(sk2,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC050-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:05:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.43  % (10328)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)
% 0.19/0.45  % (10344)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)
% 0.19/0.46  % (10336)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.47  % (10336)Instruction limit reached!
% 0.19/0.47  % (10336)------------------------------
% 0.19/0.47  % (10336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (10336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (10336)Termination reason: Unknown
% 0.19/0.47  % (10336)Termination phase: Property scanning
% 0.19/0.47  
% 0.19/0.47  % (10336)Memory used [KB]: 1151
% 0.19/0.47  % (10336)Time elapsed: 0.004 s
% 0.19/0.47  % (10336)Instructions burned: 4 (million)
% 0.19/0.47  % (10336)------------------------------
% 0.19/0.47  % (10336)------------------------------
% 0.19/0.47  TRYING [1]
% 0.19/0.47  TRYING [2]
% 0.19/0.48  TRYING [3]
% 0.19/0.50  % (10333)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)
% 0.19/0.51  % (10341)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (10329)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)
% 0.19/0.52  % (10330)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)
% 0.19/0.52  % (10331)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)
% 0.19/0.52  % (10352)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (10343)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)
% 0.19/0.53  % (10349)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (10332)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (10334)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)
% 0.19/0.53  % (10351)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)
% 0.19/0.53  % (10356)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (10355)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)
% 0.19/0.53  % (10337)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)
% 0.19/0.53  % (10345)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (10354)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)
% 0.19/0.54  % (10347)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)
% 0.19/0.54  % (10357)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)
% 0.19/0.54  % (10350)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)
% 0.19/0.54  % (10353)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (10344)First to succeed.
% 0.19/0.54  % (10338)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (10346)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (10339)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)
% 0.19/0.54  % (10348)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)
% 0.19/0.54  % (10342)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)
% 0.19/0.55  % (10344)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (10344)------------------------------
% 0.19/0.55  % (10344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (10344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (10344)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (10344)Memory used [KB]: 6652
% 0.19/0.55  % (10344)Time elapsed: 0.146 s
% 0.19/0.55  % (10344)Instructions burned: 73 (million)
% 0.19/0.55  % (10344)------------------------------
% 0.19/0.55  % (10344)------------------------------
% 0.19/0.55  % (10327)Success in time 0.198 s
%------------------------------------------------------------------------------