TSTP Solution File: SWC332-1 by SnakeForV---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC332-1 : 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_uns --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 18:40:29 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   39 (  13 unt;   0 def)
%            Number of atoms       :   74 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   64 (  29   ~;  33   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f384,plain,
    $false,
    inference(avatar_sat_refutation,[],[f239,f373,f383]) ).

fof(f383,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f382]) ).

fof(f382,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f381,f230]) ).

fof(f230,plain,
    ~ equalelemsP(sk1),
    inference(subsumption_resolution,[],[f229,f227]) ).

fof(f227,plain,
    segmentP(sk4,sk1),
    inference(forward_demodulation,[],[f192,f191]) ).

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

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

fof(f229,plain,
    ( ~ segmentP(sk4,sk1)
    | ~ equalelemsP(sk1) ),
    inference(forward_demodulation,[],[f194,f190]) ).

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

fof(f194,axiom,
    ( ~ equalelemsP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f381,plain,
    ( equalelemsP(sk1)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f377,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f377,plain,
    ( ~ ssItem(skaf44(sk1))
    | equalelemsP(sk1)
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f375]) ).

fof(f375,plain,
    ( sk1 = cons(skaf44(sk1),nil)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f374,f186]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f374,plain,
    ( sk1 = cons(skaf44(sk1),nil)
    | ~ ssList(sk1)
    | ~ spl0_2 ),
    inference(resolution,[],[f238,f101]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f238,plain,
    ( singletonP(sk1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl0_2
  <=> singletonP(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f64,axiom,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f373,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f372]) ).

fof(f372,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f366,f1]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f366,plain,
    ( ~ equalelemsP(nil)
    | spl0_1 ),
    inference(superposition,[],[f230,f363]) ).

fof(f363,plain,
    ( nil = sk1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f362,f186]) ).

fof(f362,plain,
    ( ~ ssList(sk1)
    | nil = sk1
    | spl0_1 ),
    inference(resolution,[],[f357,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f357,plain,
    ( segmentP(nil,sk1)
    | spl0_1 ),
    inference(superposition,[],[f227,f355]) ).

fof(f355,plain,
    ( nil = sk4
    | spl0_1 ),
    inference(subsumption_resolution,[],[f353,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f353,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | spl0_1 ),
    inference(resolution,[],[f260,f234]) ).

fof(f234,plain,
    ( ~ neq(sk4,nil)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl0_1
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f260,plain,
    ! [X4] :
      ( neq(sk4,X4)
      | ~ ssList(X4)
      | sk4 = X4 ),
    inference(resolution,[],[f100,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f239,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f228,f236,f232]) ).

fof(f228,plain,
    ( singletonP(sk1)
    | ~ neq(sk4,nil) ),
    inference(forward_demodulation,[],[f193,f191]) ).

fof(f193,axiom,
    ( ~ neq(sk4,nil)
    | singletonP(sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWC332-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:11:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (5165)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51  % (5153)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (5152)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (5154)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (5153)Instruction limit reached!
% 0.20/0.52  % (5153)------------------------------
% 0.20/0.52  % (5153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (5145)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.52  % (5144)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52  % (5153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (5153)Termination reason: Unknown
% 0.20/0.52  % (5153)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (5153)Memory used [KB]: 1535
% 0.20/0.52  % (5153)Time elapsed: 0.005 s
% 0.20/0.52  % (5153)Instructions burned: 7 (million)
% 0.20/0.52  % (5153)------------------------------
% 0.20/0.52  % (5153)------------------------------
% 0.20/0.52  % (5144)Instruction limit reached!
% 0.20/0.52  % (5144)------------------------------
% 0.20/0.52  % (5144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (5144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (5144)Termination reason: Unknown
% 0.20/0.52  % (5144)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (5144)Memory used [KB]: 1535
% 0.20/0.52  % (5144)Time elapsed: 0.005 s
% 0.20/0.52  % (5144)Instructions burned: 4 (million)
% 0.20/0.52  % (5144)------------------------------
% 0.20/0.52  % (5144)------------------------------
% 0.20/0.53  % (5158)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (5173)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (5143)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54  % (5167)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54  % (5168)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.54  % (5146)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.54  % (5147)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54  % (5154)First to succeed.
% 0.20/0.54  % (5148)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54  % (5142)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (5166)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55  % (5172)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.55  % (5154)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (5154)------------------------------
% 0.20/0.55  % (5154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (5154)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (5154)Memory used [KB]: 6140
% 0.20/0.55  % (5154)Time elapsed: 0.133 s
% 0.20/0.55  % (5154)Instructions burned: 11 (million)
% 0.20/0.55  % (5154)------------------------------
% 0.20/0.55  % (5154)------------------------------
% 0.20/0.55  % (5134)Success in time 0.194 s
%------------------------------------------------------------------------------