%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC246-1 : 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 : n021.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 18:39:51 EDT 2022

% Result   : Unsatisfiable 0.14s 0.51s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (   5 unt;   0 def)
%            Number of atoms       :   95 (  29 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  142 (  76   ~;  66   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f397,plain,
    $false,
    inference(subsumption_resolution,[],[f396,f192]) ).

fof(f192,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f396,plain,
    nil = sk1,
    inference(subsumption_resolution,[],[f395,f186]) ).

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

fof(f395,plain,
    ( ~ ssList(sk1)
    | nil = sk1 ),
    inference(equality_resolution,[],[f384]) ).

fof(f384,plain,
    ! [X0] :
      ( sk1 != X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(subsumption_resolution,[],[f383,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f383,plain,
    ! [X0] :
      ( sk1 != X0
      | ~ ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f381,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f381,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ~ ssList(tl(X0))
      | ~ ssItem(hd(X0))
      | sk1 != X0 ),
    inference(superposition,[],[f377,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f377,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f363]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X0)
      | cons(X0,X1) != sk1
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(superposition,[],[f339,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f339,plain,
    ! [X0,X1] :
      ( sk1 != app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f338,f8]) ).

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

fof(f338,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | sk1 != app(cons(X1,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f337]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(nil)
      | sk1 != app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f301,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f301,plain,
    ! [X0,X1] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) != sk1
      | ~ ssItem(X0) ),
    inference(superposition,[],[f292,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f292,plain,
    ! [X0,X1] :
      ( sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f291,f8]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( ~ ssList(nil)
      | sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f290,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssItem(X0)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(nil) ),
    inference(resolution,[],[f289,f193]) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | ~ ssItem(X6)
      | ~ ssList(X8)
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f289,plain,
    ! [X0,X1] :
      ( ~ ssItem(sk5(X1,nil,X0))
      | ~ ssItem(X0)
      | sk1 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f288,f8]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( ~ ssList(nil)
      | ~ ssItem(sk5(X1,nil,X0))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | sk1 != app(app(nil,cons(X0,nil)),X1) ),
    inference(resolution,[],[f194,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( memberP(X7,sk5(X8,X7,X6))
      | ~ ssList(X7)
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWC246-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n021.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 18:34:26 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.43  % (26741)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)
% 0.14/0.46  % (26759)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.14/0.46  % (26760)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)
% 0.14/0.46  % (26752)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.14/0.46  % (26753)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)
% 0.14/0.47  % (26753)Instruction limit reached!
% 0.14/0.47  % (26753)------------------------------
% 0.14/0.47  % (26753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47  % (26753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47  % (26753)Termination reason: Unknown
% 0.14/0.47  % (26753)Termination phase: Finite model building preprocessing
% 0.14/0.47  
% 0.14/0.47  % (26753)Memory used [KB]: 1535
% 0.14/0.47  % (26753)Time elapsed: 0.009 s
% 0.14/0.47  % (26753)Instructions burned: 6 (million)
% 0.14/0.47  % (26753)------------------------------
% 0.14/0.47  % (26753)------------------------------
% 0.14/0.47  % (26751)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.47  % (26749)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)
% 0.14/0.47  % (26751)Instruction limit reached!
% 0.14/0.47  % (26751)------------------------------
% 0.14/0.47  % (26751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47  % (26751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47  % (26751)Termination reason: Unknown
% 0.14/0.47  % (26751)Termination phase: Function definition elimination
% 0.14/0.47  
% 0.14/0.47  % (26751)Memory used [KB]: 1535
% 0.14/0.47  % (26751)Time elapsed: 0.004 s
% 0.14/0.47  % (26751)Instructions burned: 4 (million)
% 0.14/0.47  % (26751)------------------------------
% 0.14/0.47  % (26751)------------------------------
% 0.14/0.47  % (26745)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.49  % (26748)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)
% 0.14/0.49  % (26748)Instruction limit reached!
% 0.14/0.49  % (26748)------------------------------
% 0.14/0.49  % (26748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (26748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49  % (26748)Termination reason: Unknown
% 0.14/0.49  % (26748)Termination phase: Equality proxy
% 0.14/0.49  
% 0.14/0.49  % (26748)Memory used [KB]: 1535
% 0.14/0.49  % (26748)Time elapsed: 0.004 s
% 0.14/0.49  % (26748)Instructions burned: 6 (million)
% 0.14/0.49  % (26748)------------------------------
% 0.14/0.49  % (26748)------------------------------
% 0.14/0.49  % (26747)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)
% 0.14/0.49  % (26746)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.50  % (26746)Instruction limit reached!
% 0.14/0.50  % (26746)------------------------------
% 0.14/0.50  % (26746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50  % (26746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50  % (26746)Termination reason: Unknown
% 0.14/0.50  % (26746)Termination phase: Property scanning
% 0.14/0.50  
% 0.14/0.50  % (26746)Memory used [KB]: 1535
% 0.14/0.50  % (26746)Time elapsed: 0.004 s
% 0.14/0.50  % (26746)Instructions burned: 4 (million)
% 0.14/0.50  % (26746)------------------------------
% 0.14/0.50  % (26746)------------------------------
% 0.14/0.50  % (26752)First to succeed.
% 0.14/0.50  % (26740)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)
% 0.14/0.50  % (26743)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.51  % (26741)Refutation not found, non-redundant clauses discarded% (26741)------------------------------
% 0.14/0.51  % (26741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (26752)Refutation found. Thanks to Tanya!
% 0.14/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.51  % (26752)------------------------------
% 0.14/0.51  % (26752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (26752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (26752)Termination reason: Refutation
% 0.14/0.51  
% 0.14/0.51  % (26752)Memory used [KB]: 1791
% 0.14/0.51  % (26752)Time elapsed: 0.151 s
% 0.14/0.51  % (26752)Instructions burned: 23 (million)
% 0.14/0.51  % (26752)------------------------------
% 0.14/0.51  % (26752)------------------------------
% 0.14/0.51  % (26737)Success in time 0.204 s
%------------------------------------------------------------------------------