TSTP Solution File: SYN178-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN178-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n024.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 May  1 04:33:31 EDT 2024

% Result   : Unsatisfiable 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  11 unt;   0 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  108 (  57   ~;  46   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   6 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f498,plain,
    $false,
    inference(avatar_sat_refutation,[],[f402,f468,f470,f485,f491,f497]) ).

fof(f497,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f492]) ).

fof(f492,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f467,f7]) ).

fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',axiom_7) ).

fof(f467,plain,
    ( ! [X0] : ~ n0(X0,b)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl0_15
  <=> ! [X0] : ~ n0(X0,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f491,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f488]) ).

fof(f488,plain,
    ( $false
    | ~ spl0_14 ),
    inference(resolution,[],[f463,f10]) ).

fof(f10,axiom,
    p0(b,d),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',axiom_10) ).

fof(f463,plain,
    ( ! [X0] : ~ p0(X0,d)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl0_14
  <=> ! [X0] : ~ p0(X0,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f485,plain,
    ( spl0_15
    | spl0_4 ),
    inference(avatar_split_clause,[],[f482,f392,f466]) ).

fof(f392,plain,
    ( spl0_4
  <=> q2(b,b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f482,plain,
    ( ! [X0] : ~ n0(X0,b)
    | spl0_4 ),
    inference(resolution,[],[f479,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',rule_002) ).

fof(f479,plain,
    ( ~ l1(b,b)
    | spl0_4 ),
    inference(resolution,[],[f394,f224]) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( q2(X4,X4,X5)
      | ~ l1(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',rule_186) ).

fof(f394,plain,
    ( ~ q2(b,b,b)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f470,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f401,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',axiom_19) ).

fof(f401,plain,
    ( ! [X0,X1] : ~ m0(X0,X1,d)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f400,plain,
    ( spl0_6
  <=> ! [X0,X1] : ~ m0(X0,X1,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f468,plain,
    ( spl0_14
    | spl0_15
    | spl0_5 ),
    inference(avatar_split_clause,[],[f455,f396,f466,f462]) ).

fof(f396,plain,
    ( spl0_5
  <=> r1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f455,plain,
    ( ! [X0,X1] :
        ( ~ n0(X0,b)
        | ~ p0(X1,d) )
    | spl0_5 ),
    inference(resolution,[],[f451,f130]) ).

fof(f130,axiom,
    ! [X3,X10,X11,X6] :
      ( q1(X3,X10,X3)
      | ~ n0(X11,X10)
      | ~ p0(X6,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',rule_092) ).

fof(f451,plain,
    ( ~ q1(d,b,d)
    | spl0_5 ),
    inference(resolution,[],[f443,f6]) ).

fof(f6,axiom,
    q0(b,b),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',axiom_6) ).

fof(f443,plain,
    ( ! [X0] :
        ( ~ q0(b,X0)
        | ~ q1(d,X0,d) )
    | spl0_5 ),
    inference(subsumption_resolution,[],[f442,f1]) ).

fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',axiom_1) ).

fof(f442,plain,
    ( ! [X0] :
        ( ~ s0(d)
        | ~ q0(b,X0)
        | ~ q1(d,X0,d) )
    | spl0_5 ),
    inference(resolution,[],[f398,f162]) ).

fof(f162,axiom,
    ! [X8,X7] :
      ( r1(X7)
      | ~ s0(d)
      | ~ q0(X7,X8)
      | ~ q1(d,X8,d) ),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',rule_124) ).

fof(f398,plain,
    ( ~ r1(b)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f402,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f390,f400,f396,f392]) ).

fof(f390,plain,
    ! [X0,X1] :
      ( ~ m0(X0,X1,d)
      | ~ r1(b)
      | ~ q2(b,b,b) ),
    inference(subsumption_resolution,[],[f389,f32]) ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',axiom_32) ).

fof(f389,plain,
    ! [X0,X1] :
      ( ~ k0(b)
      | ~ m0(X0,X1,d)
      | ~ r1(b)
      | ~ q2(b,b,b) ),
    inference(subsumption_resolution,[],[f386,f7]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( ~ n0(d,b)
      | ~ k0(b)
      | ~ m0(X0,X1,d)
      | ~ r1(b)
      | ~ q2(b,b,b) ),
    inference(resolution,[],[f371,f225]) ).

fof(f225,axiom,
    ! [X8,X6,X9,X7] :
      ( q2(X6,X7,X6)
      | ~ k0(X7)
      | ~ m0(X8,X9,X6)
      | ~ r1(X7)
      | ~ q2(X7,X7,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',rule_187) ).

fof(f371,plain,
    ! [X0] :
      ( ~ q2(X0,b,d)
      | ~ n0(X0,b) ),
    inference(resolution,[],[f369,f293]) ).

fof(f293,axiom,
    ! [X2,X4,X5] :
      ( q3(X4,X5)
      | ~ q2(X2,X4,X5)
      | ~ n0(X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',rule_255) ).

fof(f369,axiom,
    ~ q3(b,d),
    file('/export/starexec/sandbox/tmp/tmp.FnX3kztbtL/Vampire---4.8_2612',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN178-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.10  % 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
% 0.09/0.30  % Computer : n024.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Apr 30 17:22:06 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.09/0.30  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.FnX3kztbtL/Vampire---4.8_2612
% 0.56/0.79  % (2724)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.79  % (2723)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)
% 0.56/0.79  % (2722)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)
% 0.56/0.79  % (2725)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)
% 0.56/0.79  % (2726)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)
% 0.56/0.79  % (2727)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)
% 0.56/0.79  % (2728)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)
% 0.56/0.79  % (2729)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)
% 0.56/0.79  % (2725)Refutation not found, incomplete strategy% (2725)------------------------------
% 0.56/0.79  % (2725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.79  % (2725)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.79  
% 0.56/0.79  % (2725)Memory used [KB]: 1272
% 0.56/0.79  % (2725)Time elapsed: 0.003 s
% 0.56/0.79  % (2729)Refutation not found, incomplete strategy% (2729)------------------------------
% 0.56/0.79  % (2729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.79  % (2725)Instructions burned: 3 (million)
% 0.56/0.79  % (2725)------------------------------
% 0.56/0.79  % (2725)------------------------------
% 0.56/0.79  % (2729)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.79  
% 0.56/0.79  % (2729)Memory used [KB]: 1280
% 0.56/0.79  % (2729)Time elapsed: 0.003 s
% 0.56/0.79  % (2729)Instructions burned: 3 (million)
% 0.56/0.79  % (2729)------------------------------
% 0.56/0.79  % (2729)------------------------------
% 0.56/0.79  % (2727)Refutation not found, incomplete strategy% (2727)------------------------------
% 0.56/0.79  % (2727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.79  % (2727)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.79  
% 0.56/0.79  % (2727)Memory used [KB]: 1323
% 0.56/0.79  % (2727)Time elapsed: 0.005 s
% 0.56/0.79  % (2727)Instructions burned: 7 (million)
% 0.56/0.79  % (2727)------------------------------
% 0.56/0.79  % (2727)------------------------------
% 0.63/0.79  % (2722)Refutation not found, incomplete strategy% (2722)------------------------------
% 0.63/0.79  % (2722)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (2722)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (2722)Memory used [KB]: 1396
% 0.63/0.79  % (2722)Time elapsed: 0.005 s
% 0.63/0.79  % (2722)Instructions burned: 6 (million)
% 0.63/0.79  % (2722)------------------------------
% 0.63/0.79  % (2722)------------------------------
% 0.63/0.79  % (2726)Refutation not found, incomplete strategy% (2726)------------------------------
% 0.63/0.79  % (2726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (2726)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (2726)Memory used [KB]: 1421
% 0.63/0.79  % (2726)Time elapsed: 0.006 s
% 0.63/0.79  % (2726)Instructions burned: 10 (million)
% 0.63/0.79  % (2726)------------------------------
% 0.63/0.79  % (2726)------------------------------
% 0.63/0.79  % (2730)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)
% 0.63/0.79  % (2731)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)
% 0.63/0.79  % (2730)Refutation not found, incomplete strategy% (2730)------------------------------
% 0.63/0.79  % (2730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (2732)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)
% 0.63/0.79  % (2730)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (2730)Memory used [KB]: 1271
% 0.63/0.79  % (2730)Time elapsed: 0.002 s
% 0.63/0.79  % (2730)Instructions burned: 3 (million)
% 0.63/0.79  % (2730)------------------------------
% 0.63/0.79  % (2730)------------------------------
% 0.63/0.79  % (2733)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)
% 0.63/0.79  % (2734)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)
% 0.63/0.80  % (2732)Refutation not found, incomplete strategy% (2732)------------------------------
% 0.63/0.80  % (2732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (2732)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (2732)Memory used [KB]: 1290
% 0.63/0.80  % (2732)Time elapsed: 0.003 s
% 0.63/0.80  % (2732)Instructions burned: 4 (million)
% 0.63/0.80  % (2732)------------------------------
% 0.63/0.80  % (2732)------------------------------
% 0.63/0.80  % (2728)Refutation not found, incomplete strategy% (2728)------------------------------
% 0.63/0.80  % (2728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (2728)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (2728)Memory used [KB]: 1558
% 0.63/0.80  % (2728)Time elapsed: 0.011 s
% 0.63/0.80  % (2728)Instructions burned: 20 (million)
% 0.63/0.80  % (2728)------------------------------
% 0.63/0.80  % (2728)------------------------------
% 0.63/0.80  % (2735)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 (2995ds/42Mi)
% 0.63/0.80  % (2734)Refutation not found, incomplete strategy% (2734)------------------------------
% 0.63/0.80  % (2734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (2734)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (2734)Memory used [KB]: 1329
% 0.63/0.80  % (2734)Time elapsed: 0.004 s
% 0.63/0.80  % (2734)Instructions burned: 5 (million)
% 0.63/0.80  % (2734)------------------------------
% 0.63/0.80  % (2734)------------------------------
% 0.63/0.80  % (2736)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.63/0.80  % (2737)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.63/0.80  % (2738)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.63/0.80  % (2735)First to succeed.
% 0.63/0.80  % (2737)Refutation not found, incomplete strategy% (2737)------------------------------
% 0.63/0.80  % (2737)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (2737)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (2737)Memory used [KB]: 1304
% 0.63/0.80  % (2737)Time elapsed: 0.004 s
% 0.63/0.80  % (2737)Instructions burned: 5 (million)
% 0.63/0.80  % (2737)------------------------------
% 0.63/0.80  % (2737)------------------------------
% 0.63/0.80  % (2735)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80  % (2735)------------------------------
% 0.63/0.80  % (2735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (2735)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (2735)Memory used [KB]: 1432
% 0.63/0.80  % (2735)Time elapsed: 0.007 s
% 0.63/0.80  % (2735)Instructions burned: 11 (million)
% 0.63/0.80  % (2735)------------------------------
% 0.63/0.80  % (2735)------------------------------
% 0.63/0.80  % (2721)Success in time 0.493 s
% 0.63/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------