%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC277-1 : 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 : n010.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 18:42:51 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   41 (  12 unt;   0 def)
%            Number of atoms       :   91 (  11 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   92 (  42   ~;  46   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f511,plain,
    $false,
    inference(avatar_sat_refutation,[],[f261,f263,f264,f457,f507]) ).

fof(f507,plain,
    ( ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f506]) ).

fof(f506,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f505,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f505,plain,
    ( ~ ssItem(skaf44(sk3))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f494,f195]) ).

fof(f195,plain,
    ~ totalorderedP(sk3),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f494,plain,
    ( totalorderedP(sk3)
    | ~ ssItem(skaf44(sk3))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f251,f465]) ).

fof(f465,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f464,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f464,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ ssList(sk3)
    | ~ spl0_7 ),
    inference(resolution,[],[f101,f256]) ).

fof(f256,plain,
    ( singletonP(sk3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl0_7
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f251,plain,
    ( ! [X1] :
        ( totalorderedP(cons(X1,nil))
        | ~ ssItem(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_6
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | totalorderedP(cons(X1,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f457,plain,
    ( ~ spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f456]) ).

fof(f456,plain,
    ( $false
    | ~ spl0_1
    | spl0_8 ),
    inference(subsumption_resolution,[],[f455,f4]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f455,plain,
    ( ~ totalorderedP(nil)
    | ~ spl0_1
    | spl0_8 ),
    inference(backward_demodulation,[],[f195,f449]) ).

fof(f449,plain,
    ( nil = sk3
    | ~ spl0_1
    | spl0_8 ),
    inference(subsumption_resolution,[],[f448,f188]) ).

fof(f448,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_1
    | spl0_8 ),
    inference(resolution,[],[f445,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f445,plain,
    ( segmentP(nil,sk3)
    | ~ spl0_1
    | spl0_8 ),
    inference(backward_demodulation,[],[f192,f439]) ).

fof(f439,plain,
    ( nil = sk4
    | ~ spl0_1
    | spl0_8 ),
    inference(subsumption_resolution,[],[f438,f230]) ).

fof(f230,plain,
    ( ssList(nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl0_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f438,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | spl0_8 ),
    inference(subsumption_resolution,[],[f433,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f433,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | ~ ssList(nil)
    | spl0_8 ),
    inference(resolution,[],[f100,f260]) ).

fof(f260,plain,
    ( ~ neq(sk4,nil)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl0_8
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

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

fof(f264,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f8,f229]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f263,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f67,f250]) ).

fof(f67,axiom,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f261,plain,
    ( spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f194,f258,f254]) ).

fof(f194,axiom,
    ( ~ neq(sk4,nil)
    | singletonP(sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC277-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:34:58 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (31760)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.48  % (31751)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)
% 0.18/0.49  % (31764)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)
% 0.18/0.49  % (31756)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)
% 0.18/0.50  % (31746)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (31748)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)
% 0.18/0.50  % (31749)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (31760)First to succeed.
% 0.18/0.51  % (31747)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)
% 0.18/0.51  % (31768)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)
% 0.18/0.51  % (31755)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51  % (31760)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (31760)------------------------------
% 0.18/0.51  % (31760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (31760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (31760)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (31760)Memory used [KB]: 5884
% 0.18/0.51  % (31760)Time elapsed: 0.107 s
% 0.18/0.51  % (31760)Instructions burned: 18 (million)
% 0.18/0.51  % (31760)------------------------------
% 0.18/0.51  % (31760)------------------------------
% 0.18/0.51  % (31741)Success in time 0.174 s
%------------------------------------------------------------------------------