TSTP Solution File: SWC065-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC065-1 : 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 : 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 18:38:32 EDT 2022

% Result   : Unsatisfiable 1.98s 0.61s
% Output   : Refutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   62 (  11 unt;   0 def)
%            Number of atoms       :  177 (  26 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  225 ( 110   ~; 110   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1111,plain,
    $false,
    inference(avatar_sat_refutation,[],[f231,f237,f242,f246,f291,f303,f1110]) ).

fof(f1110,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1109]) ).

fof(f1109,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1108,f450]) ).

fof(f450,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f449,f188]) ).

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

fof(f449,plain,
    ( ~ ssList(sk3)
    | ~ segmentP(sk4,sk3)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f448,f256]) ).

fof(f256,plain,
    segmentP(sk3,sk3),
    inference(resolution,[],[f57,f188]) ).

fof(f57,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f448,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7 ),
    inference(resolution,[],[f422,f245]) ).

fof(f245,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ segmentP(sk4,X6)
        | ~ segmentP(sk3,X6)
        | ~ ssList(X6) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl0_7
  <=> ! [X6] :
        ( ~ segmentP(sk4,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ segmentP(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f422,plain,
    ( neq(sk3,nil)
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f417,f226]) ).

fof(f226,plain,
    ( nil != sk3
    | spl0_3 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f417,plain,
    ( neq(sk3,nil)
    | nil = sk3
    | ~ spl0_1 ),
    inference(resolution,[],[f280,f216]) ).

fof(f216,plain,
    ( ssList(nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f280,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | neq(sk3,X4)
      | sk3 = X4 ),
    inference(resolution,[],[f100,f188]) ).

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

fof(f1108,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1107,f189]) ).

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

fof(f1107,plain,
    ( ~ ssList(sk4)
    | segmentP(sk4,sk3)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1103,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f1103,plain,
    ( ~ ssList(sk5)
    | segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ spl0_1 ),
    inference(superposition,[],[f603,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f603,plain,
    ( ! [X1] :
        ( ~ ssList(app(sk3,X1))
        | ~ ssList(X1)
        | segmentP(app(sk3,X1),sk3) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f602,f188]) ).

fof(f602,plain,
    ( ! [X1] :
        ( ~ ssList(sk3)
        | ~ ssList(X1)
        | segmentP(app(sk3,X1),sk3)
        | ~ ssList(app(sk3,X1)) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f504,f216]) ).

fof(f504,plain,
    ! [X1] :
      ( segmentP(app(sk3,X1),sk3)
      | ~ ssList(app(sk3,X1))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssList(sk3) ),
    inference(superposition,[],[f209,f266]) ).

fof(f266,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f188]) ).

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

fof(f209,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X2)
      | ~ ssList(X0)
      | segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | app(app(X0,X1),X2) != X3
      | segmentP(X3,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f303,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f302]) ).

fof(f302,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f301,f216]) ).

fof(f301,plain,
    ( ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(resolution,[],[f292,f213]) ).

fof(f213,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | ~ ssList(X0)
      | X0 != X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f292,plain,
    ( neq(nil,nil)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f230,f241]) ).

fof(f241,plain,
    ( nil = sk4
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_6
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f230,plain,
    ( neq(sk4,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f291,plain,
    ( spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f290]) ).

fof(f290,plain,
    ( $false
    | spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f289,f192]) ).

fof(f289,plain,
    ( ~ ssList(sk5)
    | spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f288,f226]) ).

fof(f288,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f287,f188]) ).

fof(f287,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk5)
    | nil = sk3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f285,f241]) ).

fof(f285,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | ~ ssList(sk3)
    | nil != sk4 ),
    inference(superposition,[],[f118,f193]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f246,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f203,f244,f239]) ).

fof(f203,plain,
    ! [X6] :
      ( ~ segmentP(sk4,X6)
      | ~ segmentP(sk3,X6)
      | ~ neq(X6,nil)
      | nil = sk4
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f198,f190,f190,f191]) ).

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

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

fof(f198,axiom,
    ! [X6] :
      ( ~ segmentP(sk2,X6)
      | nil = sk2
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ segmentP(sk1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f242,plain,
    ( spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f196,f224,f239]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f237,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f8,f215]) ).

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

fof(f231,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f202,f228,f224]) ).

fof(f202,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

fof(f199,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC065-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 17:58:59 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.51  % (16560)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.52  % (16554)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.52  % (16554)Instruction limit reached!
% 0.21/0.52  % (16554)------------------------------
% 0.21/0.52  % (16554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (16554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (16554)Termination reason: Unknown
% 0.21/0.52  % (16554)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (16554)Memory used [KB]: 6012
% 0.21/0.52  % (16554)Time elapsed: 0.005 s
% 0.21/0.52  % (16554)Instructions burned: 5 (million)
% 0.21/0.52  % (16554)------------------------------
% 0.21/0.52  % (16554)------------------------------
% 0.21/0.52  % (16548)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)
% 0.21/0.53  % (16545)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)
% 0.21/0.53  % (16543)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)
% 0.21/0.53  % (16542)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53  % (16568)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.54  % (16563)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)
% 0.21/0.54  % (16555)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)
% 0.21/0.54  % (16555)Instruction limit reached!
% 0.21/0.54  % (16555)------------------------------
% 0.21/0.54  % (16555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (16555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (16555)Termination reason: Unknown
% 0.21/0.54  % (16555)Termination phase: Property scanning
% 0.21/0.54  
% 0.21/0.54  % (16555)Memory used [KB]: 1407
% 0.21/0.54  % (16555)Time elapsed: 0.003 s
% 0.21/0.54  % (16555)Instructions burned: 3 (million)
% 0.21/0.54  % (16555)------------------------------
% 0.21/0.54  % (16555)------------------------------
% 0.21/0.54  % (16564)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)
% 0.21/0.54  % (16551)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)
% 0.21/0.54  % (16552)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)
% 0.21/0.54  % (16556)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)
% 0.21/0.54  % (16553)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)
% 0.21/0.54  % (16558)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54  % (16552)Instruction limit reached!
% 0.21/0.54  % (16552)------------------------------
% 0.21/0.54  % (16552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (16552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (16552)Termination reason: Unknown
% 0.21/0.54  % (16552)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (16552)Memory used [KB]: 6012
% 0.21/0.54  % (16552)Time elapsed: 0.004 s
% 0.21/0.54  % (16552)Instructions burned: 8 (million)
% 0.21/0.54  % (16552)------------------------------
% 0.21/0.54  % (16552)------------------------------
% 0.21/0.54  % (16557)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)
% 0.21/0.54  % (16558)Instruction limit reached!
% 0.21/0.54  % (16558)------------------------------
% 0.21/0.54  % (16558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (16558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (16558)Termination reason: Unknown
% 0.21/0.54  % (16558)Termination phase: Equality proxy
% 0.21/0.54  
% 0.21/0.54  % (16558)Memory used [KB]: 1535
% 0.21/0.54  % (16558)Time elapsed: 0.003 s
% 0.21/0.54  % (16558)Instructions burned: 4 (million)
% 0.21/0.54  % (16558)------------------------------
% 0.21/0.54  % (16558)------------------------------
% 0.21/0.54  % (16550)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)
% 0.21/0.55  % (16550)Instruction limit reached!
% 0.21/0.55  % (16550)------------------------------
% 0.21/0.55  % (16550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (16550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (16550)Termination reason: Unknown
% 0.21/0.55  % (16546)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)
% 0.21/0.55  % (16550)Termination phase: Property scanning
% 0.21/0.55  
% 0.21/0.55  % (16550)Memory used [KB]: 1535
% 0.21/0.55  % (16550)Time elapsed: 0.003 s
% 0.21/0.55  % (16550)Instructions burned: 5 (million)
% 0.21/0.55  % (16550)------------------------------
% 0.21/0.55  % (16550)------------------------------
% 0.21/0.55  % (16549)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)
% 0.21/0.55  % (16547)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.55  % (16566)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)
% 0.21/0.55  % (16567)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)
% 0.21/0.55  % (16569)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.55  % (16570)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)
% 0.21/0.55  % (16571)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)
% 0.21/0.55  % (16565)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)
% 0.21/0.55  % (16559)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.56  % (16544)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)
% 0.21/0.56  % (16562)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.56  % (16544)Instruction limit reached!
% 0.21/0.56  % (16544)------------------------------
% 0.21/0.56  % (16544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (16544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (16544)Termination reason: Unknown
% 0.21/0.56  % (16544)Termination phase: Property scanning
% 0.21/0.56  
% 0.21/0.56  % (16544)Memory used [KB]: 1535
% 0.21/0.56  % (16544)Time elapsed: 0.004 s
% 0.21/0.56  % (16544)Instructions burned: 5 (million)
% 0.21/0.56  % (16544)------------------------------
% 0.21/0.56  % (16544)------------------------------
% 0.21/0.56  % (16560)Instruction limit reached!
% 0.21/0.56  % (16560)------------------------------
% 0.21/0.56  % (16560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (16560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (16560)Termination reason: Unknown
% 0.21/0.56  % (16560)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (16560)Memory used [KB]: 11129
% 0.21/0.56  % (16560)Time elapsed: 0.144 s
% 0.21/0.56  % (16560)Instructions burned: 28 (million)
% 0.21/0.56  % (16560)------------------------------
% 0.21/0.56  % (16560)------------------------------
% 0.21/0.56  % (16561)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56  % (16557)Instruction limit reached!
% 0.21/0.56  % (16557)------------------------------
% 0.21/0.56  % (16557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (16557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (16557)Termination reason: Unknown
% 0.21/0.56  % (16557)Termination phase: Finite model building preprocessing
% 0.21/0.56  
% 0.21/0.56  % (16557)Memory used [KB]: 1535
% 0.21/0.56  % (16557)Time elapsed: 0.005 s
% 0.21/0.56  % (16557)Instructions burned: 6 (million)
% 0.21/0.56  % (16557)------------------------------
% 0.21/0.56  % (16557)------------------------------
% 0.21/0.57  % (16561)Instruction limit reached!
% 0.21/0.57  % (16561)------------------------------
% 0.21/0.57  % (16561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (16561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (16561)Termination reason: Unknown
% 0.21/0.57  % (16561)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (16561)Memory used [KB]: 1535
% 0.21/0.57  % (16561)Time elapsed: 0.005 s
% 0.21/0.57  % (16561)Instructions burned: 7 (million)
% 0.21/0.57  % (16561)------------------------------
% 0.21/0.57  % (16561)------------------------------
% 0.21/0.57  % (16553)Instruction limit reached!
% 0.21/0.57  % (16553)------------------------------
% 0.21/0.57  % (16553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (16553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (16553)Termination reason: Unknown
% 0.21/0.57  % (16553)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (16553)Memory used [KB]: 6268
% 0.21/0.57  % (16553)Time elapsed: 0.163 s
% 0.21/0.57  % (16553)Instructions burned: 24 (million)
% 0.21/0.57  % (16553)------------------------------
% 0.21/0.57  % (16553)------------------------------
% 0.21/0.58  % (16559)Instruction limit reached!
% 0.21/0.58  % (16559)------------------------------
% 0.21/0.58  % (16559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (16559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (16559)Termination reason: Unknown
% 0.21/0.58  % (16559)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (16559)Memory used [KB]: 6012
% 0.21/0.58  % (16559)Time elapsed: 0.007 s
% 0.21/0.58  % (16559)Instructions burned: 9 (million)
% 0.21/0.58  % (16559)------------------------------
% 0.21/0.58  % (16559)------------------------------
% 0.21/0.58  % (16562)Instruction limit reached!
% 0.21/0.58  % (16562)------------------------------
% 0.21/0.58  % (16562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (16562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (16562)Termination reason: Unknown
% 0.21/0.58  % (16562)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (16562)Memory used [KB]: 1535
% 0.21/0.58  % (16562)Time elapsed: 0.004 s
% 0.21/0.58  % (16562)Instructions burned: 6 (million)
% 0.21/0.58  % (16562)------------------------------
% 0.21/0.58  % (16562)------------------------------
% 0.21/0.58  % (16570)Instruction limit reached!
% 0.21/0.58  % (16570)------------------------------
% 0.21/0.58  % (16570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (16570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (16570)Termination reason: Unknown
% 0.21/0.58  % (16570)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (16570)Memory used [KB]: 6140
% 0.21/0.58  % (16570)Time elapsed: 0.175 s
% 0.21/0.58  % (16570)Instructions burned: 21 (million)
% 0.21/0.58  % (16570)------------------------------
% 0.21/0.58  % (16570)------------------------------
% 1.75/0.59  % (16556)Instruction limit reached!
% 1.75/0.59  % (16556)------------------------------
% 1.75/0.59  % (16556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (16556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (16556)Termination reason: Unknown
% 1.75/0.59  % (16556)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (16556)Memory used [KB]: 1791
% 1.75/0.59  % (16556)Time elapsed: 0.181 s
% 1.75/0.59  % (16556)Instructions burned: 29 (million)
% 1.75/0.59  % (16556)------------------------------
% 1.75/0.59  % (16556)------------------------------
% 1.75/0.59  % (16545)First to succeed.
% 1.75/0.59  % (16547)Instruction limit reached!
% 1.75/0.59  % (16547)------------------------------
% 1.75/0.59  % (16547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (16547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (16547)Termination reason: Unknown
% 1.75/0.59  % (16547)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (16547)Memory used [KB]: 6396
% 1.75/0.59  % (16547)Time elapsed: 0.173 s
% 1.75/0.59  % (16547)Instructions burned: 26 (million)
% 1.75/0.59  % (16547)------------------------------
% 1.75/0.59  % (16547)------------------------------
% 1.98/0.61  % (16545)Refutation found. Thanks to Tanya!
% 1.98/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.98/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.61  % (16545)------------------------------
% 1.98/0.61  % (16545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.61  % (16545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.61  % (16545)Termination reason: Refutation
% 1.98/0.61  
% 1.98/0.61  % (16545)Memory used [KB]: 6396
% 1.98/0.61  % (16545)Time elapsed: 0.166 s
% 1.98/0.61  % (16545)Instructions burned: 30 (million)
% 1.98/0.61  % (16545)------------------------------
% 1.98/0.61  % (16545)------------------------------
% 1.98/0.61  % (16541)Success in time 0.251 s
%------------------------------------------------------------------------------