TSTP Solution File: COL088-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 : Sun May  5 04:45:09 EDT 2024

% Result   : Unsatisfiable 0.62s 0.77s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (  11 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   57 (  32   ~;  24   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f313,plain,
    $false,
    inference(avatar_sat_refutation,[],[f221,f311]) ).

fof(f311,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f310]) ).

fof(f310,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f309,f208]) ).

fof(f208,plain,
    ( member(comb_app(z,r),comb)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl0_1
  <=> member(comb_app(z,r),comb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f309,plain,
    ~ member(comb_app(z,r),comb),
    inference(subsumption_resolution,[],[f303,f184]) ).

fof(f184,axiom,
    member(pair(y,z),contract),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',ap_reduce1_2h4) ).

fof(f303,plain,
    ( ~ member(pair(y,z),contract)
    | ~ member(comb_app(z,r),comb) ),
    inference(resolution,[],[f247,f154]) ).

fof(f154,axiom,
    ! [X4] :
      ( member(pair(X4,X4),rtrancl(contract))
      | ~ member(X4,comb) ),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',reduction_refl) ).

fof(f247,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(X0,r),comb_app(z,r)),rtrancl(contract))
      | ~ member(pair(y,X0),contract) ),
    inference(subsumption_resolution,[],[f244,f181]) ).

fof(f181,axiom,
    member(r,comb),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',ap_reduce1_2h1) ).

fof(f244,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(X0,r),comb_app(z,r)),rtrancl(contract))
      | ~ member(r,comb)
      | ~ member(pair(y,X0),contract) ),
    inference(resolution,[],[f229,f179]) ).

fof(f179,axiom,
    ! [X18,X19,X5,X20] :
      ( member(pair(comb_app(X19,X20),X5),rtrancl(contract))
      | ~ member(pair(comb_app(X18,X20),X5),rtrancl(contract))
      | ~ member(X20,comb)
      | ~ member(pair(X19,X18),contract) ),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',reduction_rls_3) ).

fof(f229,plain,
    ~ member(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract)),
    inference(resolution,[],[f195,f185]) ).

fof(f185,axiom,
    member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',ap_reduce1_2h5) ).

fof(f195,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(p,r),X0),rtrancl(contract))
      | ~ member(pair(X0,comb_app(z,r)),rtrancl(contract)) ),
    inference(subsumption_resolution,[],[f192,f175]) ).

fof(f175,axiom,
    ! [X11] : trans(rtrancl(X11)),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',trans_rtrancl) ).

fof(f192,plain,
    ! [X0] :
      ( ~ member(pair(X0,comb_app(z,r)),rtrancl(contract))
      | ~ member(pair(comb_app(p,r),X0),rtrancl(contract))
      | ~ trans(rtrancl(contract)) ),
    inference(resolution,[],[f186,f174]) ).

fof(f174,axiom,
    ! [X11,X6,X4,X5] :
      ( member(pair(X4,X5),X11)
      | ~ member(pair(X6,X5),X11)
      | ~ member(pair(X4,X6),X11)
      | ~ trans(X11) ),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',transD) ).

fof(f186,axiom,
    ~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',ap_reduce1_2c1) ).

fof(f221,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f220]) ).

fof(f220,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f219,f189]) ).

fof(f189,plain,
    member(z,comb),
    inference(resolution,[],[f184,f176]) ).

fof(f176,axiom,
    ! [X6,X4] :
      ( ~ member(pair(X4,X6),contract)
      | member(X6,comb) ),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',contract_combD2) ).

fof(f219,plain,
    ( ~ member(z,comb)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f217,f181]) ).

fof(f217,plain,
    ( ~ member(r,comb)
    | ~ member(z,comb)
    | spl0_1 ),
    inference(resolution,[],[f209,f153]) ).

fof(f153,axiom,
    ! [X12,X13] :
      ( member(comb_app(X12,X13),comb)
      | ~ member(X13,comb)
      | ~ member(X12,comb) ),
    file('/export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400',comb_intros3) ).

fof(f209,plain,
    ( ~ member(comb_app(z,r),comb)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f207]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 18:27:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.60ThSfJELm/Vampire---4.8_18400
% 0.57/0.74  % (18515)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74  % (18508)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (18510)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (18512)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74  % (18509)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74  % (18511)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (18513)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (18514)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75  % (18510)Refutation not found, incomplete strategy% (18510)------------------------------
% 0.57/0.75  % (18510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (18510)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (18510)Memory used [KB]: 1164
% 0.57/0.75  % (18510)Time elapsed: 0.005 s
% 0.57/0.75  % (18510)Instructions burned: 4 (million)
% 0.57/0.75  % (18510)------------------------------
% 0.57/0.75  % (18510)------------------------------
% 0.57/0.75  % (18508)Refutation not found, incomplete strategy% (18508)------------------------------
% 0.57/0.75  % (18508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (18508)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (18508)Memory used [KB]: 1188
% 0.57/0.75  % (18508)Time elapsed: 0.006 s
% 0.57/0.75  % (18508)Instructions burned: 7 (million)
% 0.57/0.75  % (18508)------------------------------
% 0.57/0.75  % (18508)------------------------------
% 0.57/0.75  % (18516)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75  % (18517)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.76  % (18515)Instruction limit reached!
% 0.57/0.76  % (18515)------------------------------
% 0.57/0.76  % (18515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (18515)Termination reason: Unknown
% 0.57/0.76  % (18515)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (18515)Memory used [KB]: 1395
% 0.57/0.76  % (18515)Time elapsed: 0.016 s
% 0.57/0.76  % (18515)Instructions burned: 59 (million)
% 0.57/0.76  % (18515)------------------------------
% 0.57/0.76  % (18515)------------------------------
% 0.57/0.76  % (18519)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.62/0.76  % (18511)Instruction limit reached!
% 0.62/0.76  % (18511)------------------------------
% 0.62/0.76  % (18511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (18511)Termination reason: Unknown
% 0.62/0.76  % (18511)Termination phase: Saturation
% 0.62/0.76  
% 0.62/0.76  % (18511)Memory used [KB]: 1712
% 0.62/0.76  % (18511)Time elapsed: 0.019 s
% 0.62/0.76  % (18511)Instructions burned: 34 (million)
% 0.62/0.76  % (18511)------------------------------
% 0.62/0.76  % (18511)------------------------------
% 0.62/0.76  % (18512)Instruction limit reached!
% 0.62/0.76  % (18512)------------------------------
% 0.62/0.76  % (18512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (18513)Instruction limit reached!
% 0.62/0.76  % (18513)------------------------------
% 0.62/0.76  % (18513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (18512)Termination reason: Unknown
% 0.62/0.76  % (18512)Termination phase: Saturation
% 0.62/0.76  
% 0.62/0.76  % (18512)Memory used [KB]: 1422
% 0.62/0.76  % (18512)Time elapsed: 0.020 s
% 0.62/0.76  % (18512)Instructions burned: 34 (million)
% 0.62/0.76  % (18512)------------------------------
% 0.62/0.76  % (18512)------------------------------
% 0.62/0.76  % (18513)Termination reason: Unknown
% 0.62/0.76  % (18513)Termination phase: Saturation
% 0.62/0.76  
% 0.62/0.76  % (18513)Memory used [KB]: 1273
% 0.62/0.76  % (18513)Time elapsed: 0.020 s
% 0.62/0.76  % (18513)Instructions burned: 45 (million)
% 0.62/0.76  % (18513)------------------------------
% 0.62/0.76  % (18513)------------------------------
% 0.62/0.77  % (18520)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.62/0.77  % (18521)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.62/0.77  % (18522)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.62/0.77  % (18521)First to succeed.
% 0.62/0.77  % (18521)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18507"
% 0.62/0.77  % (18521)Refutation found. Thanks to Tanya!
% 0.62/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.78  % (18521)------------------------------
% 0.62/0.78  % (18521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (18521)Termination reason: Refutation
% 0.62/0.78  
% 0.62/0.78  % (18521)Memory used [KB]: 1228
% 0.62/0.78  % (18521)Time elapsed: 0.010 s
% 0.62/0.78  % (18521)Instructions burned: 13 (million)
% 0.62/0.78  % (18507)Success in time 0.405 s
% 0.62/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------