%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL093-2 : TPTP v8.1.0. Released v2.7.0.
% 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 : n005.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 15:52:05 EDT 2022

% Result   : Unsatisfiable 1.39s 0.54s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   53 (   6 unt;   0 def)
%            Number of atoms       :  113 (  17 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  112 (  52   ~;  54   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   7 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f387,plain,
    $false,
    inference(avatar_sat_refutation,[],[f217,f253,f256,f334,f363,f377,f382]) ).

fof(f382,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f378,f145]) ).

fof(f145,axiom,
    ! [X12,X13] : combS != comb_app(X12,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_app) ).

fof(f378,plain,
    ( combS = comb_app(combK,r)
    | ~ spl0_6 ),
    inference(resolution,[],[f252,f187]) ).

fof(f187,axiom,
    ! [X11,X12,X13] :
      ( ~ ap_parcontractE_c2(X12,X13,X11)
      | comb_app(combK,X11) = X12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE6) ).

fof(f252,plain,
    ( ap_parcontractE_c2(combS,p,r)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_6
  <=> ap_parcontractE_c2(combS,p,r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f377,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f376]) ).

fof(f376,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f373,f145]) ).

fof(f373,plain,
    ( combS = comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,p,r)),ap_parcontractE_sk1q(combS,p,r))
    | ~ spl0_5 ),
    inference(resolution,[],[f248,f192]) ).

fof(f192,axiom,
    ! [X11,X12,X13] :
      ( ~ ap_parcontractE_c3(X12,X13,X11)
      | comb_app(comb_app(combS,ap_parcontractE_sk1p(X12,X13,X11)),ap_parcontractE_sk1q(X12,X13,X11)) = X12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE11) ).

fof(f248,plain,
    ( ap_parcontractE_c3(combS,p,r)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl0_5
  <=> ap_parcontractE_c3(combS,p,r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f363,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f362]) ).

fof(f362,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f361,f358]) ).

fof(f358,plain,
    ( ~ member(r,comb)
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f348,f212]) ).

fof(f212,plain,
    ( ~ member(p,comb)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_1
  <=> member(p,comb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f348,plain,
    ( ~ member(r,comb)
    | member(p,comb)
    | ~ spl0_2 ),
    inference(superposition,[],[f150,f215]) ).

fof(f215,plain,
    ( comb_app(combS,p) = r
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_2
  <=> comb_app(combS,p) = r ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f150,axiom,
    ! [X12,X13] :
      ( ~ member(comb_app(X12,X13),comb)
      | member(X13,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E2) ).

fof(f361,plain,
    ( member(r,comb)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f360,f215]) ).

fof(f360,plain,
    ( member(comb_app(combS,p),comb)
    | ~ spl0_3 ),
    inference(resolution,[],[f240,f183]) ).

fof(f183,axiom,
    ! [X11,X12,X13] :
      ( ~ ap_parcontractE_c1(X12,X13,X11)
      | member(comb_app(X12,X13),comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE2) ).

fof(f240,plain,
    ( ap_parcontractE_c1(combS,p,r)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_3
  <=> ap_parcontractE_c1(combS,p,r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f334,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f333]) ).

fof(f333,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f331,f289]) ).

fof(f289,plain,
    ( r != comb_app(combS,ap_parcontractE_sk2s(combS,p,r))
    | ~ spl0_4 ),
    inference(resolution,[],[f258,f197]) ).

fof(f197,axiom,
    ! [X19] :
      ( ~ member(pair(p,X19),parcontract)
      | r != comb_app(combS,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_parcontractD_c1) ).

fof(f258,plain,
    ( member(pair(p,ap_parcontractE_sk2s(combS,p,r)),parcontract)
    | ~ spl0_4 ),
    inference(resolution,[],[f244,f194]) ).

fof(f194,axiom,
    ! [X11,X12,X13] :
      ( ~ ap_parcontractE_c4(X12,X13,X11)
      | member(pair(X13,ap_parcontractE_sk2s(X12,X13,X11)),parcontract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE13) ).

fof(f244,plain,
    ( ap_parcontractE_c4(combS,p,r)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_4
  <=> ap_parcontractE_c4(combS,p,r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f331,plain,
    ( r = comb_app(combS,ap_parcontractE_sk2s(combS,p,r))
    | ~ spl0_4 ),
    inference(superposition,[],[f257,f294]) ).

fof(f294,plain,
    ( combS = ap_parcontractE_sk2q(combS,p,r)
    | ~ spl0_4 ),
    inference(resolution,[],[f259,f181]) ).

fof(f181,axiom,
    ! [X11] :
      ( ~ member(pair(combS,X11),parcontract)
      | combS = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_parcontractE2) ).

fof(f259,plain,
    ( member(pair(combS,ap_parcontractE_sk2q(combS,p,r)),parcontract)
    | ~ spl0_4 ),
    inference(resolution,[],[f244,f193]) ).

fof(f193,axiom,
    ! [X11,X12,X13] :
      ( ~ ap_parcontractE_c4(X12,X13,X11)
      | member(pair(X12,ap_parcontractE_sk2q(X12,X13,X11)),parcontract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE12) ).

fof(f257,plain,
    ( r = comb_app(ap_parcontractE_sk2q(combS,p,r),ap_parcontractE_sk2s(combS,p,r))
    | ~ spl0_4 ),
    inference(resolution,[],[f244,f195]) ).

fof(f195,axiom,
    ! [X11,X12,X13] :
      ( ~ ap_parcontractE_c4(X12,X13,X11)
      | comb_app(ap_parcontractE_sk2q(X12,X13,X11),ap_parcontractE_sk2s(X12,X13,X11)) = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE14) ).

fof(f256,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f254,f238,f214]) ).

fof(f254,plain,
    ( comb_app(combS,p) = r
    | ~ spl0_3 ),
    inference(resolution,[],[f240,f184]) ).

fof(f184,axiom,
    ! [X11,X12,X13] :
      ( ~ ap_parcontractE_c1(X12,X13,X11)
      | comb_app(X12,X13) = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE3) ).

fof(f253,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f227,f250,f246,f242,f238]) ).

fof(f227,plain,
    ( ap_parcontractE_c2(combS,p,r)
    | ap_parcontractE_c3(combS,p,r)
    | ap_parcontractE_c4(combS,p,r)
    | ap_parcontractE_c1(combS,p,r) ),
    inference(resolution,[],[f182,f196]) ).

fof(f196,axiom,
    member(pair(comb_app(combS,p),r),parcontract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_parcontractD_h1) ).

fof(f182,axiom,
    ! [X11,X12,X13] :
      ( ~ member(pair(comb_app(X12,X13),X11),parcontract)
      | ap_parcontractE_c2(X12,X13,X11)
      | ap_parcontractE_c4(X12,X13,X11)
      | ap_parcontractE_c1(X12,X13,X11)
      | ap_parcontractE_c3(X12,X13,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE1) ).

fof(f217,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f208,f214,f210]) ).

fof(f208,plain,
    ( comb_app(combS,p) != r
    | ~ member(p,comb) ),
    inference(resolution,[],[f174,f197]) ).

fof(f174,axiom,
    ! [X12] :
      ( member(pair(X12,X12),parcontract)
      | ~ member(X12,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',parcontract_intros1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL093-2 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13  % 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 : n005.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   : Mon Aug 29 16:52:18 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (3245)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (3257)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)
% 0.19/0.51  % (3255)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)
% 0.19/0.51  % (3256)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)
% 0.19/0.52  % (3254)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)
% 0.19/0.52  % (3254)Instruction limit reached!
% 0.19/0.52  % (3254)------------------------------
% 0.19/0.52  % (3254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (3254)Termination reason: Unknown
% 0.19/0.52  % (3254)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (3254)Memory used [KB]: 1535
% 0.19/0.52  % (3254)Time elapsed: 0.003 s
% 0.19/0.52  % (3254)Instructions burned: 5 (million)
% 0.19/0.52  % (3254)------------------------------
% 0.19/0.52  % (3254)------------------------------
% 0.19/0.52  % (3247)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)
% 0.19/0.52  % (3265)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)
% 0.19/0.52  % (3247)Instruction limit reached!
% 0.19/0.52  % (3247)------------------------------
% 0.19/0.52  % (3247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3256)Instruction limit reached!
% 0.19/0.52  % (3256)------------------------------
% 0.19/0.52  % (3256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3250)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (3269)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)
% 0.19/0.53  % (3249)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)
% 0.19/0.53  % (3273)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)
% 0.19/0.53  % (3252)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)
% 0.19/0.53  % (3256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3256)Termination reason: Unknown
% 0.19/0.53  % (3256)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (3256)Memory used [KB]: 6012
% 0.19/0.53  % (3256)Time elapsed: 0.005 s
% 0.19/0.53  % (3256)Instructions burned: 7 (million)
% 0.19/0.53  % (3256)------------------------------
% 0.19/0.53  % (3256)------------------------------
% 0.19/0.53  % (3248)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)
% 0.19/0.53  % (3257)First to succeed.
% 0.19/0.53  % (3261)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)
% 0.19/0.53  % (3248)Refutation not found, incomplete strategy% (3248)------------------------------
% 0.19/0.53  % (3248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3248)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (3248)Memory used [KB]: 6012
% 0.19/0.53  % (3248)Time elapsed: 0.118 s
% 0.19/0.53  % (3248)Instructions burned: 2 (million)
% 0.19/0.53  % (3248)------------------------------
% 0.19/0.53  % (3248)------------------------------
% 0.19/0.53  % (3265)Instruction limit reached!
% 0.19/0.53  % (3265)------------------------------
% 0.19/0.53  % (3265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3265)Termination reason: Unknown
% 0.19/0.53  % (3265)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (3265)Memory used [KB]: 1535
% 0.19/0.53  % (3265)Time elapsed: 0.006 s
% 0.19/0.53  % (3265)Instructions burned: 7 (million)
% 0.19/0.53  % (3265)------------------------------
% 0.19/0.53  % (3265)------------------------------
% 1.39/0.53  % (3261)Instruction limit reached!
% 1.39/0.53  % (3261)------------------------------
% 1.39/0.53  % (3261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53  % (3261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53  % (3261)Termination reason: Unknown
% 1.39/0.53  % (3261)Termination phase: Finite model building preprocessing
% 1.39/0.53  
% 1.39/0.53  % (3261)Memory used [KB]: 1663
% 1.39/0.53  % (3261)Time elapsed: 0.004 s
% 1.39/0.53  % (3261)Instructions burned: 8 (million)
% 1.39/0.53  % (3261)------------------------------
% 1.39/0.53  % (3261)------------------------------
% 1.39/0.53  % (3260)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)
% 1.39/0.54  % (3246)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)
% 1.39/0.54  % (3263)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.39/0.54  % (3272)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)
% 1.39/0.54  % (3272)Refutation not found, incomplete strategy% (3272)------------------------------
% 1.39/0.54  % (3272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54  % (3272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54  % (3272)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.54  
% 1.39/0.54  % (3272)Memory used [KB]: 6012
% 1.39/0.54  % (3272)Time elapsed: 0.139 s
% 1.39/0.54  % (3272)Instructions burned: 3 (million)
% 1.39/0.54  % (3272)------------------------------
% 1.39/0.54  % (3272)------------------------------
% 1.39/0.54  % (3274)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)
% 1.39/0.54  % (3267)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)
% 1.39/0.54  % (3257)Refutation found. Thanks to Tanya!
% 1.39/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.39/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.54  % (3257)------------------------------
% 1.39/0.54  % (3257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54  % (3257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54  % (3257)Termination reason: Refutation
% 1.39/0.54  
% 1.39/0.54  % (3257)Memory used [KB]: 6140
% 1.39/0.54  % (3257)Time elapsed: 0.117 s
% 1.39/0.54  % (3257)Instructions burned: 18 (million)
% 1.39/0.54  % (3257)------------------------------
% 1.39/0.54  % (3257)------------------------------
% 1.39/0.54  % (3241)Success in time 0.188 s
%------------------------------------------------------------------------------