TSTP Solution File: COL091-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL091-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 04:45:10 EDT 2024

% Result   : Unsatisfiable 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
%            Number of atoms       :   67 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   61 (  26   ~;  32   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f119,plain,
    $false,
    inference(avatar_sat_refutation,[],[f54,f110,f114,f118]) ).

fof(f118,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f117]) ).

fof(f117,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f116,f30]) ).

fof(f30,axiom,
    ! [X7] : ~ member(pair(combK,X7),contract),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',k_contractE) ).

fof(f116,plain,
    ( member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract)
    | ~ spl0_1 ),
    inference(resolution,[],[f45,f24]) ).

fof(f24,axiom,
    ! [X0,X1,X7] :
      ( ~ ap_contractE_c3(X0,X1,X7)
      | member(pair(X0,ap_contractE_sk2q(X0,X1,X7)),contract) ),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',ap_contractE10) ).

fof(f45,plain,
    ( ap_contractE_c3(combK,p,r)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_1
  <=> ap_contractE_c3(combK,p,r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f114,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f113]) ).

fof(f113,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f112,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : combK != comb_app(X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',k_app) ).

fof(f112,plain,
    ( combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r))
    | ~ spl0_3 ),
    inference(resolution,[],[f53,f23]) ).

fof(f23,axiom,
    ! [X0,X1,X7] :
      ( ~ ap_contractE_c2(X0,X1,X7)
      | comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X7)),ap_contractE_sk1q(X0,X1,X7)) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',ap_contractE9) ).

fof(f53,plain,
    ( ap_contractE_c2(combK,p,r)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl0_3
  <=> ap_contractE_c2(combK,p,r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f110,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f109]) ).

fof(f109,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f108,f56]) ).

fof(f56,plain,
    ( r = comb_app(combK,ap_contractE_sk3q(combK,p,r))
    | ~ spl0_2 ),
    inference(resolution,[],[f49,f29]) ).

fof(f29,axiom,
    ! [X0,X1,X7] :
      ( ~ ap_contractE_c4(X0,X1,X7)
      | comb_app(X0,ap_contractE_sk3q(X0,X1,X7)) = X7 ),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',ap_contractE15) ).

fof(f49,plain,
    ( ap_contractE_c4(combK,p,r)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_2
  <=> ap_contractE_c4(combK,p,r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f108,plain,
    ( r != comb_app(combK,ap_contractE_sk3q(combK,p,r))
    | ~ spl0_2 ),
    inference(resolution,[],[f57,f33]) ).

fof(f33,axiom,
    ! [X1] :
      ( ~ member(pair(p,X1),contract)
      | r != comb_app(combK,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',k1_contractD_c1) ).

fof(f57,plain,
    ( member(pair(p,ap_contractE_sk3q(combK,p,r)),contract)
    | ~ spl0_2 ),
    inference(resolution,[],[f49,f27]) ).

fof(f27,axiom,
    ! [X0,X1,X7] :
      ( ~ ap_contractE_c4(X0,X1,X7)
      | member(pair(X1,ap_contractE_sk3q(X0,X1,X7)),contract) ),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',ap_contractE13) ).

fof(f54,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f41,f51,f47,f43]) ).

fof(f41,plain,
    ( ap_contractE_c2(combK,p,r)
    | ap_contractE_c4(combK,p,r)
    | ap_contractE_c3(combK,p,r) ),
    inference(subsumption_resolution,[],[f39,f2]) ).

fof(f39,plain,
    ( ap_contractE_c2(combK,p,r)
    | ap_contractE_c4(combK,p,r)
    | ap_contractE_c3(combK,p,r)
    | combK = comb_app(combK,r) ),
    inference(resolution,[],[f38,f32]) ).

fof(f32,axiom,
    member(pair(comb_app(combK,p),r),contract),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',k1_contractD_h1) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ member(pair(comb_app(X0,X1),X2),contract)
      | ap_contractE_c2(X0,X1,X2)
      | ap_contractE_c4(X0,X1,X2)
      | ap_contractE_c3(X0,X1,X2)
      | comb_app(combK,X2) = X0 ),
    inference(resolution,[],[f15,f18]) ).

fof(f18,axiom,
    ! [X0,X1,X7] :
      ( ~ ap_contractE_c1(X0,X1,X7)
      | comb_app(combK,X7) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',ap_contractE4) ).

fof(f15,axiom,
    ! [X0,X1,X7] :
      ( ap_contractE_c1(X0,X1,X7)
      | ap_contractE_c3(X0,X1,X7)
      | ap_contractE_c2(X0,X1,X7)
      | ap_contractE_c4(X0,X1,X7)
      | ~ member(pair(comb_app(X0,X1),X7),contract) ),
    file('/export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634',ap_contractE1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem    : COL091-1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.32  % Computer : n007.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri May  3 18:27:53 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.3TFU19n95s/Vampire---4.8_27634
% 0.61/0.79  % (27742)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 (2995ds/34Mi)
% 0.61/0.79  % (27746)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 (2995ds/34Mi)
% 0.61/0.79  % (27743)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 (2995ds/51Mi)
% 0.61/0.79  % (27747)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.79  % (27744)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (27745)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.79  % (27748)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 (2995ds/83Mi)
% 0.61/0.79  % (27749)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 (2995ds/56Mi)
% 0.61/0.79  % (27749)Refutation not found, incomplete strategy% (27749)------------------------------
% 0.61/0.79  % (27749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (27747)Refutation not found, incomplete strategy% (27747)------------------------------
% 0.61/0.79  % (27747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (27747)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (27747)Memory used [KB]: 957
% 0.61/0.79  % (27747)Time elapsed: 0.002 s
% 0.61/0.79  % (27747)Instructions burned: 2 (million)
% 0.61/0.79  % (27748)Refutation not found, incomplete strategy% (27748)------------------------------
% 0.61/0.79  % (27748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (27748)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (27748)Memory used [KB]: 959
% 0.61/0.79  % (27748)Time elapsed: 0.003 s
% 0.61/0.79  % (27748)Instructions burned: 3 (million)
% 0.61/0.79  % (27746)Refutation not found, incomplete strategy% (27746)------------------------------
% 0.61/0.79  % (27746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (27746)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (27746)Memory used [KB]: 1041
% 0.61/0.79  % (27746)Time elapsed: 0.003 s
% 0.61/0.79  % (27746)Instructions burned: 3 (million)
% 0.61/0.79  % (27747)------------------------------
% 0.61/0.79  % (27747)------------------------------
% 0.61/0.79  % (27748)------------------------------
% 0.61/0.79  % (27748)------------------------------
% 0.61/0.79  % (27746)------------------------------
% 0.61/0.79  % (27746)------------------------------
% 0.61/0.79  % (27742)Refutation not found, incomplete strategy% (27742)------------------------------
% 0.61/0.79  % (27742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (27742)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (27742)Memory used [KB]: 975
% 0.61/0.79  % (27742)Time elapsed: 0.003 s
% 0.61/0.79  % (27742)Instructions burned: 3 (million)
% 0.61/0.79  % (27742)------------------------------
% 0.61/0.79  % (27742)------------------------------
% 0.61/0.79  % (27749)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (27749)Memory used [KB]: 958
% 0.61/0.79  % (27749)Time elapsed: 0.003 s
% 0.61/0.79  % (27749)Instructions burned: 2 (million)
% 0.61/0.79  % (27749)------------------------------
% 0.61/0.79  % (27749)------------------------------
% 0.61/0.79  % (27744)First to succeed.
% 0.61/0.79  % (27744)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27741"
% 0.61/0.79  % (27752)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 (2995ds/208Mi)
% 0.61/0.79  % (27750)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 (2995ds/55Mi)
% 0.61/0.79  % (27751)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 (2995ds/50Mi)
% 0.61/0.79  % (27753)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 (2995ds/52Mi)
% 0.61/0.79  % (27754)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 (2995ds/518Mi)
% 0.61/0.79  % (27744)Refutation found. Thanks to Tanya!
% 0.61/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79  % (27744)------------------------------
% 0.61/0.79  % (27744)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (27744)Termination reason: Refutation
% 0.61/0.79  
% 0.61/0.79  % (27744)Memory used [KB]: 1078
% 0.61/0.79  % (27744)Time elapsed: 0.006 s
% 0.61/0.79  % (27744)Instructions burned: 8 (million)
% 0.61/0.79  % (27741)Success in time 0.462 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------