TSTP Solution File: SWW956+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW956+1 : TPTP v8.1.2. Released v7.4.0.
% 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 : n012.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 11:31:48 EDT 2024

% Result   : Theorem 0.35s 0.59s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   52 (  15 unt;   0 def)
%            Number of atoms       :   99 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   86 (  39   ~;  31   |;   2   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f301,plain,
    $false,
    inference(avatar_sat_refutation,[],[f285,f287,f300]) ).

fof(f300,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f299,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f289,f265]) ).

fof(f265,plain,
    pred_attacker(name_G_8),
    inference(resolution,[],[f239,f246]) ).

fof(f246,plain,
    pred_attacker(tuple_A_out_1(name_P_7,name_G_8)),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,axiom,
    pred_attacker(tuple_A_out_1(name_P_7,name_G_8)),
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',ax89) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_A_out_1(X0,X1))
      | pred_attacker(X1) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( pred_attacker(X1)
      | ~ pred_attacker(tuple_A_out_1(X0,X1)) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( pred_attacker(tuple_A_out_1(X0,X1))
     => pred_attacker(X1) ),
    inference(rectify,[],[f82]) ).

fof(f82,axiom,
    ! [X32,X33] :
      ( pred_attacker(tuple_A_out_1(X32,X33))
     => pred_attacker(X33) ),
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',ax81) ).

fof(f289,plain,
    ( ~ pred_attacker(name_G_8)
    | ~ spl0_4 ),
    inference(resolution,[],[f288,f266]) ).

fof(f266,plain,
    pred_attacker(constr_mod(constr_exp(name_G_8,name_Na),name_P_7)),
    inference(resolution,[],[f247,f236]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_2(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_2(X0)) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_2(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f79]) ).

fof(f79,axiom,
    ! [X27] :
      ( pred_attacker(tuple_A_out_2(X27))
     => pred_attacker(X27) ),
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',ax78) ).

fof(f247,plain,
    pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8,name_Na),name_P_7))),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,axiom,
    pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8,name_Na),name_P_7))),
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',ax90) ).

fof(f288,plain,
    ( ! [X0] :
        ( ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7))
        | ~ pred_attacker(X0) )
    | ~ spl0_4 ),
    inference(resolution,[],[f284,f240]) ).

fof(f240,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_A_in_3(X0)) ),
    inference(rectify,[],[f83]) ).

fof(f83,axiom,
    ! [X34] :
      ( pred_attacker(X34)
     => pred_attacker(tuple_A_in_3(X34)) ),
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',ax82) ).

fof(f284,plain,
    ( ! [X0] :
        ( ~ pred_attacker(tuple_A_in_3(X0))
        | ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f283,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ pred_attacker(tuple_A_in_3(X0))
        | ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f287,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f286]) ).

fof(f286,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f281,f250]) ).

fof(f250,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f95]) ).

fof(f95,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f94]) ).

fof(f94,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',co0) ).

fof(f281,plain,
    ( pred_attacker(name_objective)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl0_3
  <=> pred_attacker(name_objective) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f285,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f277,f283,f279]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7))
      | pred_attacker(name_objective) ),
    inference(resolution,[],[f258,f269]) ).

fof(f269,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(constr_enc(X0,X1))
      | ~ pred_attacker(X1)
      | pred_attacker(X0) ),
    inference(superposition,[],[f220,f213]) ).

fof(f213,plain,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',ax55) ).

fof(f220,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(constr_dec(X0,X1)) ),
    inference(rectify,[],[f63]) ).

fof(f63,axiom,
    ! [X12,X13] :
      ( ( pred_attacker(X13)
        & pred_attacker(X12) )
     => pred_attacker(constr_dec(X12,X13)) ),
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',ax62) ).

fof(f258,plain,
    ! [X0] :
      ( pred_attacker(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))
      | ~ pred_attacker(tuple_A_in_3(X0)) ),
    inference(resolution,[],[f234,f248]) ).

fof(f248,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7))))
      | ~ pred_attacker(tuple_A_in_3(X0)) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7))))
      | ~ pred_attacker(tuple_A_in_3(X0)) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))) ),
    inference(rectify,[],[f92]) ).

fof(f92,axiom,
    ! [X42] :
      ( pred_attacker(tuple_A_in_3(X42))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X42,name_Na),name_P_7)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',ax91) ).

fof(f234,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_4(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_4(X0)) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f77]) ).

fof(f77,axiom,
    ! [X25] :
      ( pred_attacker(tuple_A_out_4(X25))
     => pred_attacker(X25) ),
    file('/export/starexec/sandbox2/tmp/tmp.kFs4yb3ist/Vampire---4.8_15865',ax76) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SWW956+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.08  % 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
% 0.07/0.27  % Computer : n012.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit   : 300
% 0.07/0.27  % WCLimit    : 300
% 0.07/0.27  % DateTime   : Fri May  3 19:25:38 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.07/0.27  This is a FOF_THM_RFO_SEQ problem
% 0.07/0.27  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.kFs4yb3ist/Vampire---4.8_15865
% 0.35/0.58  % (15973)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)
% 0.35/0.58  % (15973)Refutation not found, incomplete strategy% (15973)------------------------------
% 0.35/0.58  % (15973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.35/0.58  % (15973)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.58  
% 0.35/0.58  % (15973)Memory used [KB]: 988
% 0.35/0.58  % (15973)Time elapsed: 0.002 s
% 0.35/0.58  % (15973)Instructions burned: 2 (million)
% 0.35/0.58  % (15973)------------------------------
% 0.35/0.58  % (15973)------------------------------
% 0.35/0.58  % (15975)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.35/0.58  % (15974)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)
% 0.35/0.58  % (15980)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)
% 0.35/0.58  % (15975)Refutation not found, incomplete strategy% (15975)------------------------------
% 0.35/0.58  % (15975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.35/0.58  % (15975)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.58  
% 0.35/0.58  % (15975)Memory used [KB]: 972
% 0.35/0.58  % (15975)Time elapsed: 0.002 s
% 0.35/0.58  % (15975)Instructions burned: 2 (million)
% 0.35/0.58  % (15980)Refutation not found, incomplete strategy% (15980)------------------------------
% 0.35/0.58  % (15980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.35/0.58  % (15980)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.58  
% 0.35/0.58  % (15980)Memory used [KB]: 970
% 0.35/0.58  % (15980)Time elapsed: 0.001 s
% 0.35/0.58  % (15980)Instructions burned: 2 (million)
% 0.35/0.58  % (15975)------------------------------
% 0.35/0.58  % (15975)------------------------------
% 0.35/0.58  % (15980)------------------------------
% 0.35/0.58  % (15980)------------------------------
% 0.35/0.58  % (15979)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)
% 0.35/0.58  % (15979)Refutation not found, incomplete strategy% (15979)------------------------------
% 0.35/0.58  % (15979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.35/0.58  % (15979)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.58  
% 0.35/0.58  % (15979)Memory used [KB]: 1040
% 0.35/0.58  % (15979)Time elapsed: 0.001 s
% 0.35/0.58  % (15979)Instructions burned: 3 (million)
% 0.35/0.58  % (15981)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)
% 0.35/0.58  % (15979)------------------------------
% 0.35/0.58  % (15979)------------------------------
% 0.35/0.58  % (15983)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)
% 0.35/0.58  % (15974)First to succeed.
% 0.35/0.58  % (15983)Refutation not found, incomplete strategy% (15983)------------------------------
% 0.35/0.58  % (15983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.35/0.58  % (15983)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.58  
% 0.35/0.58  % (15983)Memory used [KB]: 972
% 0.35/0.58  % (15983)Time elapsed: 0.001 s
% 0.35/0.58  % (15983)Instructions burned: 2 (million)
% 0.35/0.59  % (15983)------------------------------
% 0.35/0.59  % (15983)------------------------------
% 0.35/0.59  % (15982)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)
% 0.35/0.59  % (15974)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15972"
% 0.35/0.59  % (15978)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)
% 0.35/0.59  % (15976)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)
% 0.35/0.59  % (15978)Refutation not found, incomplete strategy% (15978)------------------------------
% 0.35/0.59  % (15978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.35/0.59  % (15978)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.59  
% 0.35/0.59  % (15978)Memory used [KB]: 968
% 0.35/0.59  % (15978)Time elapsed: 0.001 s
% 0.35/0.59  % (15978)Instructions burned: 2 (million)
% 0.35/0.59  % (15974)Refutation found. Thanks to Tanya!
% 0.35/0.59  % SZS status Theorem for Vampire---4
% 0.35/0.59  % SZS output start Proof for Vampire---4
% See solution above
% 0.35/0.59  % (15974)------------------------------
% 0.35/0.59  % (15974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.35/0.59  % (15974)Termination reason: Refutation
% 0.35/0.59  
% 0.35/0.59  % (15974)Memory used [KB]: 1093
% 0.35/0.59  % (15974)Time elapsed: 0.006 s
% 0.35/0.59  % (15974)Instructions burned: 8 (million)
% 0.35/0.59  % (15972)Success in time 0.312 s
% 0.35/0.59  % Vampire---4.8 exiting
%------------------------------------------------------------------------------