TSTP Solution File: SYN673-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN673-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n009.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 11:59:03 EDT 2024

% Result   : Unsatisfiable 0.68s 0.87s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   56 (  19 unt;   0 def)
%            Number of atoms       :  117 (   7 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  117 (  56   ~;  58   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   4 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  20 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f862,plain,
    $false,
    inference(avatar_sat_refutation,[],[f425,f485,f490,f855]) ).

fof(f855,plain,
    ( ~ spl9_18
    | ~ spl9_25 ),
    inference(avatar_contradiction_clause,[],[f854]) ).

fof(f854,plain,
    ( $false
    | ~ spl9_18
    | ~ spl9_25 ),
    inference(subsumption_resolution,[],[f841,f58]) ).

fof(f58,plain,
    ~ p29(sF1,c38),
    inference(definition_folding,[],[f17,f57,f56]) ).

fof(f56,plain,
    f8(c34,c30) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f57,plain,
    f5(c33,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f17,axiom,
    ~ p29(f5(c33,f8(c34,c30)),c38),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',not_p29_17) ).

fof(f841,plain,
    ( p29(sF1,c38)
    | ~ spl9_18
    | ~ spl9_25 ),
    inference(resolution,[],[f840,f77]) ).

fof(f77,plain,
    p10(sF7,c38),
    inference(resolution,[],[f73,f66]) ).

fof(f66,plain,
    p10(c38,sF7),
    inference(definition_folding,[],[f41,f65,f64,f63,f62,f61]) ).

fof(f61,plain,
    f19(c35,c37) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f62,plain,
    f14(sF3,c39) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f63,plain,
    f19(c35,sF4) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f64,plain,
    f17(c36,c40) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

fof(f65,plain,
    f14(sF5,sF6) = sF7,
    introduced(function_definition,[new_symbols(definition,[sF7])]) ).

fof(f41,axiom,
    p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p10_41) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ p10(X0,X1)
      | p10(X1,X0) ),
    inference(resolution,[],[f22,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p10_1) ).

fof(f22,axiom,
    ! [X0,X19,X20] :
      ( ~ p10(X0,X20)
      | ~ p10(X0,X19)
      | p10(X19,X20) ),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p10_22) ).

fof(f840,plain,
    ( ! [X0] :
        ( ~ p10(sF7,X0)
        | p29(sF1,X0) )
    | ~ spl9_18
    | ~ spl9_25 ),
    inference(resolution,[],[f832,f5]) ).

fof(f5,axiom,
    ! [X4] : p4(X4,X4),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p4_5) ).

fof(f832,plain,
    ( ! [X0,X1] :
        ( ~ p4(sF1,X0)
        | ~ p10(sF7,X1)
        | p29(X0,X1) )
    | ~ spl9_18
    | ~ spl9_25 ),
    inference(resolution,[],[f830,f38]) ).

fof(f38,axiom,
    ! [X50,X51,X49,X52] :
      ( ~ p29(X51,X52)
      | ~ p4(X51,X49)
      | ~ p10(X52,X50)
      | p29(X49,X50) ),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p29_38) ).

fof(f830,plain,
    ( p29(sF1,sF7)
    | ~ spl9_18
    | ~ spl9_25 ),
    inference(resolution,[],[f829,f18]) ).

fof(f18,axiom,
    ! [X16,X17] :
      ( ~ p27(f12(c32,X17),X16)
      | p29(X16,X17) ),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p29_18) ).

fof(f829,plain,
    ( p27(f12(c32,sF7),sF1)
    | ~ spl9_18
    | ~ spl9_25 ),
    inference(forward_demodulation,[],[f828,f65]) ).

fof(f828,plain,
    ( p27(f12(c32,f14(sF5,sF6)),sF1)
    | ~ spl9_18
    | ~ spl9_25 ),
    inference(subsumption_resolution,[],[f826,f459]) ).

fof(f459,plain,
    ( p28(f21(c30,c40),c31)
    | ~ spl9_25 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl9_25
  <=> p28(f21(c30,c40),c31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_25])]) ).

fof(f826,plain,
    ( p27(f12(c32,f14(sF5,sF6)),sF1)
    | ~ p28(f21(c30,c40),c31)
    | ~ spl9_18 ),
    inference(superposition,[],[f424,f64]) ).

fof(f424,plain,
    ( ! [X0] :
        ( p27(f12(c32,f14(sF5,f17(c36,X0))),sF1)
        | ~ p28(f21(c30,X0),c31) )
    | ~ spl9_18 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f423,plain,
    ( spl9_18
  <=> ! [X0] :
        ( p27(f12(c32,f14(sF5,f17(c36,X0))),sF1)
        | ~ p28(f21(c30,X0),c31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_18])]) ).

fof(f490,plain,
    spl9_25,
    inference(avatar_contradiction_clause,[],[f489]) ).

fof(f489,plain,
    ( $false
    | spl9_25 ),
    inference(subsumption_resolution,[],[f488,f12]) ).

fof(f12,axiom,
    ! [X11] : p16(X11,X11),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p16_12) ).

fof(f488,plain,
    ( ~ p16(c40,c40)
    | spl9_25 ),
    inference(resolution,[],[f460,f20]) ).

fof(f20,axiom,
    ! [X18] :
      ( p28(f21(c30,X18),c31)
      | ~ p16(X18,c40) ),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p28_20) ).

fof(f460,plain,
    ( ~ p28(f21(c30,c40),c31)
    | spl9_25 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f485,plain,
    spl9_17,
    inference(avatar_contradiction_clause,[],[f484]) ).

fof(f484,plain,
    ( $false
    | spl9_17 ),
    inference(subsumption_resolution,[],[f483,f263]) ).

fof(f263,plain,
    p29(sF1,sF4),
    inference(resolution,[],[f262,f1]) ).

fof(f262,plain,
    ! [X0] :
      ( ~ p10(X0,sF4)
      | p29(sF1,X0) ),
    inference(subsumption_resolution,[],[f260,f68]) ).

fof(f68,plain,
    ! [X101] :
      ( ~ p28(f21(c30,f26(c43,X101)),c31)
      | ~ p10(X101,sF4)
      | p29(sF1,X101) ),
    inference(definition_folding,[],[f53,f57,f56,f62,f61]) ).

fof(f53,axiom,
    ! [X101] :
      ( ~ p28(f21(c30,f26(c43,X101)),c31)
      | ~ p10(X101,f14(f19(c35,c37),c39))
      | p29(f5(c33,f8(c34,c30)),X101) ),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p29_53) ).

fof(f260,plain,
    ! [X0] :
      ( p29(sF1,X0)
      | ~ p10(X0,sF4)
      | p28(f21(c30,f26(c43,X0)),c31) ),
    inference(resolution,[],[f67,f37]) ).

fof(f37,axiom,
    ! [X18] :
      ( ~ p29(f24(c42,X18),c39)
      | p28(f21(c30,X18),c31) ),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p28_37) ).

fof(f67,plain,
    ! [X101] :
      ( p29(f24(c42,f26(c43,X101)),c39)
      | p29(sF1,X101)
      | ~ p10(X101,sF4) ),
    inference(definition_folding,[],[f52,f57,f56,f62,f61]) ).

fof(f52,axiom,
    ! [X101] :
      ( ~ p10(X101,f14(f19(c35,c37),c39))
      | p29(f5(c33,f8(c34,c30)),X101)
      | p29(f24(c42,f26(c43,X101)),c39) ),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p29_52) ).

fof(f483,plain,
    ( ~ p29(sF1,sF4)
    | spl9_17 ),
    inference(resolution,[],[f421,f19]) ).

fof(f19,axiom,
    ! [X16,X17] :
      ( p27(f12(c32,X17),X16)
      | ~ p29(X16,X17) ),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p27_19) ).

fof(f421,plain,
    ( ~ p27(f12(c32,sF4),sF1)
    | spl9_17 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl9_17
  <=> p27(f12(c32,sF4),sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).

fof(f425,plain,
    ( ~ spl9_17
    | spl9_18 ),
    inference(avatar_split_clause,[],[f395,f423,f419]) ).

fof(f395,plain,
    ! [X0] :
      ( p27(f12(c32,f14(sF5,f17(c36,X0))),sF1)
      | ~ p28(f21(c30,X0),c31)
      | ~ p27(f12(c32,sF4),sF1) ),
    inference(superposition,[],[f71,f63]) ).

fof(f71,plain,
    ! [X104,X103] :
      ( p27(f12(c32,f14(f19(c35,X103),f17(c36,X104))),sF1)
      | ~ p28(f21(c30,X104),c31)
      | ~ p27(f12(c32,X103),sF1) ),
    inference(definition_folding,[],[f55,f57,f56,f57,f56]) ).

fof(f55,axiom,
    ! [X104,X103] :
      ( ~ p27(f12(c32,X103),f5(c33,f8(c34,c30)))
      | ~ p28(f21(c30,X104),c31)
      | p27(f12(c32,f14(f19(c35,X103),f17(c36,X104))),f5(c33,f8(c34,c30))) ),
    file('/export/starexec/sandbox/tmp/tmp.3xmHIHWU52/Vampire---4.8_26628',p27_55) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem    : SYN673-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.17  % 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
% 0.17/0.38  % Computer : n009.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Fri May  3 17:21:38 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.17/0.39  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.17/0.39  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.3xmHIHWU52/Vampire---4.8_26628
% 0.60/0.84  % (26743)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)
% 0.60/0.84  % (26741)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)
% 0.60/0.84  % (26739)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)
% 0.60/0.84  % (26740)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)
% 0.60/0.84  % (26736)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)
% 0.60/0.84  % (26738)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.84  % (26742)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)
% 0.68/0.85  % (26737)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)
% 0.68/0.85  % (26739)Instruction limit reached!
% 0.68/0.85  % (26739)------------------------------
% 0.68/0.85  % (26739)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85  % (26739)Termination reason: Unknown
% 0.68/0.85  % (26739)Termination phase: Saturation
% 0.68/0.85  
% 0.68/0.85  % (26739)Memory used [KB]: 1456
% 0.68/0.85  % (26739)Time elapsed: 0.018 s
% 0.68/0.85  % (26739)Instructions burned: 33 (million)
% 0.68/0.85  % (26739)------------------------------
% 0.68/0.85  % (26739)------------------------------
% 0.68/0.85  % (26740)Instruction limit reached!
% 0.68/0.85  % (26740)------------------------------
% 0.68/0.85  % (26740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85  % (26740)Termination reason: Unknown
% 0.68/0.85  % (26740)Termination phase: Saturation
% 0.68/0.85  
% 0.68/0.85  % (26740)Memory used [KB]: 1259
% 0.68/0.85  % (26740)Time elapsed: 0.019 s
% 0.68/0.85  % (26740)Instructions burned: 34 (million)
% 0.68/0.85  % (26740)------------------------------
% 0.68/0.85  % (26740)------------------------------
% 0.68/0.85  % (26743)Instruction limit reached!
% 0.68/0.85  % (26743)------------------------------
% 0.68/0.85  % (26743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85  % (26743)Termination reason: Unknown
% 0.68/0.85  % (26743)Termination phase: Saturation
% 0.68/0.85  
% 0.68/0.85  % (26743)Memory used [KB]: 1457
% 0.68/0.85  % (26743)Time elapsed: 0.021 s
% 0.68/0.85  % (26743)Instructions burned: 58 (million)
% 0.68/0.85  % (26743)------------------------------
% 0.68/0.85  % (26743)------------------------------
% 0.68/0.86  % (26736)Instruction limit reached!
% 0.68/0.86  % (26736)------------------------------
% 0.68/0.86  % (26736)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.86  % (26744)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)
% 0.68/0.86  % (26736)Termination reason: Unknown
% 0.68/0.86  % (26736)Termination phase: Saturation
% 0.68/0.86  
% 0.68/0.86  % (26736)Memory used [KB]: 1284
% 0.68/0.86  % (26736)Time elapsed: 0.021 s
% 0.68/0.86  % (26736)Instructions burned: 34 (million)
% 0.68/0.86  % (26736)------------------------------
% 0.68/0.86  % (26736)------------------------------
% 0.68/0.86  % (26741)Instruction limit reached!
% 0.68/0.86  % (26741)------------------------------
% 0.68/0.86  % (26741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.86  % (26741)Termination reason: Unknown
% 0.68/0.86  % (26741)Termination phase: Saturation
% 0.68/0.86  
% 0.68/0.86  % (26741)Memory used [KB]: 1296
% 0.68/0.86  % (26741)Time elapsed: 0.022 s
% 0.68/0.86  % (26741)Instructions burned: 45 (million)
% 0.68/0.86  % (26741)------------------------------
% 0.68/0.86  % (26741)------------------------------
% 0.68/0.86  % (26746)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)
% 0.68/0.86  % (26745)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)
% 0.68/0.86  % (26747)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)
% 0.68/0.86  % (26748)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)
% 0.68/0.87  % (26746)First to succeed.
% 0.68/0.87  % (26746)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26735"
% 0.68/0.87  % (26746)Refutation found. Thanks to Tanya!
% 0.68/0.87  % SZS status Unsatisfiable for Vampire---4
% 0.68/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.87  % (26746)------------------------------
% 0.68/0.87  % (26746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.87  % (26746)Termination reason: Refutation
% 0.68/0.87  
% 0.68/0.87  % (26746)Memory used [KB]: 1331
% 0.68/0.87  % (26746)Time elapsed: 0.013 s
% 0.68/0.87  % (26746)Instructions burned: 33 (million)
% 0.68/0.87  % (26735)Success in time 0.465 s
% 0.68/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------