TSTP Solution File: LCL112-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL112-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n017.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 07:33:17 EDT 2024

% Result   : Unsatisfiable 0.69s 0.86s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (  19 unt;   0 def)
%            Number of atoms       :   50 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  23   ~;  16   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1203,plain,
    $false,
    inference(avatar_sat_refutation,[],[f614,f1195]) ).

fof(f1195,plain,
    spl3_30,
    inference(avatar_split_clause,[],[f1194,f543]) ).

fof(f543,plain,
    ( spl3_30
  <=> ! [X1] : ~ is_a_theorem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f1194,plain,
    ! [X0] : ~ is_a_theorem(X0),
    inference(subsumption_resolution,[],[f1185,f30]) ).

fof(f30,plain,
    ~ is_a_theorem(implies(not(sF1),sF0)),
    inference(subsumption_resolution,[],[f29,f10]) ).

fof(f10,plain,
    ~ is_a_theorem(sF2),
    inference(definition_folding,[],[f6,f9,f8,f7]) ).

fof(f7,plain,
    not(a) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f8,plain,
    not(sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f9,plain,
    implies(a,sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f6,axiom,
    ~ is_a_theorem(implies(a,not(not(a)))),
    file('/export/starexec/sandbox2/tmp/tmp.NW33Qji2Og/Vampire---4.8_12267',prove_mv_29) ).

fof(f29,plain,
    ( ~ is_a_theorem(implies(not(sF1),sF0))
    | is_a_theorem(sF2) ),
    inference(resolution,[],[f22,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.NW33Qji2Og/Vampire---4.8_12267',condensed_detachment) ).

fof(f22,plain,
    is_a_theorem(implies(implies(not(sF1),sF0),sF2)),
    inference(forward_demodulation,[],[f21,f7]) ).

fof(f21,plain,
    is_a_theorem(implies(implies(not(sF1),not(a)),sF2)),
    inference(superposition,[],[f5,f9]) ).

fof(f5,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.NW33Qji2Og/Vampire---4.8_12267',mv_5) ).

fof(f1185,plain,
    ! [X0] :
      ( is_a_theorem(implies(not(sF1),sF0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1079,f218]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f159,f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f32,f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.NW33Qji2Og/Vampire---4.8_12267',mv_1) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),X1))
      | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
    file('/export/starexec/sandbox2/tmp/tmp.NW33Qji2Og/Vampire---4.8_12267',mv_3) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f25,f1]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.NW33Qji2Og/Vampire---4.8_12267',mv_2) ).

fof(f1079,plain,
    ! [X0] : is_a_theorem(implies(not(sF1),implies(X0,sF0))),
    inference(resolution,[],[f808,f212]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(sF1,not(X1))))
      | is_a_theorem(implies(X0,implies(X1,sF0))) ),
    inference(resolution,[],[f159,f18]) ).

fof(f18,plain,
    ! [X0] : is_a_theorem(implies(implies(sF1,not(X0)),implies(X0,sF0))),
    inference(superposition,[],[f5,f8]) ).

fof(f808,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f204,f2]) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
      | is_a_theorem(implies(X0,implies(X2,X1))) ),
    inference(resolution,[],[f159,f5]) ).

fof(f614,plain,
    ~ spl3_30,
    inference(avatar_contradiction_clause,[],[f550]) ).

fof(f550,plain,
    ( $false
    | ~ spl3_30 ),
    inference(resolution,[],[f544,f2]) ).

fof(f544,plain,
    ( ! [X1] : ~ is_a_theorem(X1)
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f543]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL112-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n017.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 12:48:51 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36  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.NW33Qji2Og/Vampire---4.8_12267
% 0.66/0.82  % (12473)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)
% 0.66/0.82  % (12477)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)
% 0.66/0.82  % (12477)Refutation not found, incomplete strategy% (12477)------------------------------
% 0.66/0.82  % (12477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82  % (12477)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (12477)Memory used [KB]: 959
% 0.66/0.82  % (12477)Time elapsed: 0.001 s
% 0.66/0.82  % (12477)Instructions burned: 2 (million)
% 0.66/0.82  % (12477)------------------------------
% 0.66/0.82  % (12477)------------------------------
% 0.66/0.82  % (12470)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)
% 0.66/0.82  % (12472)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.82  % (12471)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)
% 0.66/0.82  % (12474)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)
% 0.66/0.82  % (12475)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)
% 0.66/0.82  % (12476)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)
% 0.66/0.82  % (12475)Refutation not found, incomplete strategy% (12475)------------------------------
% 0.66/0.82  % (12475)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82  % (12475)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  % (12474)Refutation not found, incomplete strategy% (12474)------------------------------
% 0.66/0.82  % (12474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82  % (12474)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (12474)Memory used [KB]: 961
% 0.66/0.82  % (12474)Time elapsed: 0.002 s
% 0.66/0.82  % (12474)Instructions burned: 2 (million)
% 0.66/0.82  
% 0.66/0.82  % (12475)Memory used [KB]: 959
% 0.66/0.82  % (12475)Time elapsed: 0.002 s
% 0.66/0.82  % (12475)Instructions burned: 2 (million)
% 0.66/0.82  % (12474)------------------------------
% 0.66/0.82  % (12474)------------------------------
% 0.66/0.82  % (12475)------------------------------
% 0.66/0.82  % (12475)------------------------------
% 0.66/0.82  % (12480)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)
% 0.66/0.83  % (12482)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)
% 0.66/0.83  % (12483)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)
% 0.66/0.83  % (12473)Instruction limit reached!
% 0.66/0.83  % (12473)------------------------------
% 0.66/0.83  % (12473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.83  % (12473)Termination reason: Unknown
% 0.66/0.83  % (12473)Termination phase: Saturation
% 0.66/0.83  
% 0.66/0.83  % (12473)Memory used [KB]: 1293
% 0.66/0.83  % (12473)Time elapsed: 0.012 s
% 0.66/0.83  % (12473)Instructions burned: 34 (million)
% 0.66/0.83  % (12473)------------------------------
% 0.66/0.83  % (12473)------------------------------
% 0.66/0.83  % (12487)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)
% 0.69/0.84  % (12480)Instruction limit reached!
% 0.69/0.84  % (12480)------------------------------
% 0.69/0.84  % (12480)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.84  % (12480)Termination reason: Unknown
% 0.69/0.84  % (12480)Termination phase: Saturation
% 0.69/0.84  
% 0.69/0.84  % (12480)Memory used [KB]: 1635
% 0.69/0.84  % (12480)Time elapsed: 0.018 s
% 0.69/0.84  % (12480)Instructions burned: 56 (million)
% 0.69/0.84  % (12480)------------------------------
% 0.69/0.84  % (12480)------------------------------
% 0.69/0.84  % (12470)Instruction limit reached!
% 0.69/0.84  % (12470)------------------------------
% 0.69/0.84  % (12470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.84  % (12470)Termination reason: Unknown
% 0.69/0.84  % (12470)Termination phase: Saturation
% 0.69/0.84  
% 0.69/0.84  % (12470)Memory used [KB]: 1143
% 0.69/0.84  % (12470)Time elapsed: 0.021 s
% 0.69/0.84  % (12470)Instructions burned: 35 (million)
% 0.69/0.84  % (12470)------------------------------
% 0.69/0.84  % (12470)------------------------------
% 0.69/0.84  % (12491)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)
% 0.69/0.84  % (12491)Refutation not found, incomplete strategy% (12491)------------------------------
% 0.69/0.84  % (12491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.84  % (12491)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.84  
% 0.69/0.84  % (12491)Memory used [KB]: 961
% 0.69/0.84  % (12491)Time elapsed: 0.001 s
% 0.69/0.84  % (12491)Instructions burned: 2 (million)
% 0.69/0.84  % (12491)------------------------------
% 0.69/0.84  % (12491)------------------------------
% 0.69/0.85  % (12493)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)
% 0.69/0.85  % (12493)Refutation not found, incomplete strategy% (12493)------------------------------
% 0.69/0.85  % (12493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.85  % (12493)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.85  
% 0.69/0.85  % (12493)Memory used [KB]: 960
% 0.69/0.85  % (12493)Time elapsed: 0.002 s
% 0.69/0.85  % (12493)Instructions burned: 2 (million)
% 0.69/0.85  % (12493)------------------------------
% 0.69/0.85  % (12493)------------------------------
% 0.69/0.85  % (12495)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)
% 0.69/0.85  % (12487)Instruction limit reached!
% 0.69/0.85  % (12487)------------------------------
% 0.69/0.85  % (12487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.85  % (12487)Termination reason: Unknown
% 0.69/0.85  % (12487)Termination phase: Saturation
% 0.69/0.85  
% 0.69/0.85  % (12487)Memory used [KB]: 1223
% 0.69/0.85  % (12487)Time elapsed: 0.017 s
% 0.69/0.85  % (12487)Instructions burned: 53 (million)
% 0.69/0.85  % (12487)------------------------------
% 0.69/0.85  % (12487)------------------------------
% 0.69/0.85  % (12497)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)
% 0.69/0.85  % (12471)Instruction limit reached!
% 0.69/0.85  % (12471)------------------------------
% 0.69/0.85  % (12471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.85  % (12471)Termination reason: Unknown
% 0.69/0.85  % (12471)Termination phase: Saturation
% 0.69/0.85  
% 0.69/0.85  % (12471)Memory used [KB]: 1298
% 0.69/0.85  % (12471)Time elapsed: 0.031 s
% 0.69/0.85  % (12471)Instructions burned: 51 (million)
% 0.69/0.85  % (12471)------------------------------
% 0.69/0.85  % (12471)------------------------------
% 0.69/0.85  % (12499)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)
% 0.69/0.86  % (12502)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.69/0.86  % (12482)Instruction limit reached!
% 0.69/0.86  % (12482)------------------------------
% 0.69/0.86  % (12482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.86  % (12482)Termination reason: Unknown
% 0.69/0.86  % (12482)Termination phase: Saturation
% 0.69/0.86  
% 0.69/0.86  % (12482)Memory used [KB]: 1437
% 0.69/0.86  % (12482)Time elapsed: 0.030 s
% 0.69/0.86  % (12482)Instructions burned: 50 (million)
% 0.69/0.86  % (12482)------------------------------
% 0.69/0.86  % (12482)------------------------------
% 0.69/0.86  % (12483)First to succeed.
% 0.69/0.86  % (12483)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12434"
% 0.69/0.86  % (12506)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.69/0.86  % (12483)Refutation found. Thanks to Tanya!
% 0.69/0.86  % SZS status Unsatisfiable for Vampire---4
% 0.69/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.86  % (12483)------------------------------
% 0.69/0.86  % (12483)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.86  % (12483)Termination reason: Refutation
% 0.69/0.86  
% 0.69/0.86  % (12483)Memory used [KB]: 1348
% 0.69/0.86  % (12483)Time elapsed: 0.033 s
% 0.69/0.86  % (12483)Instructions burned: 54 (million)
% 0.69/0.86  % (12434)Success in time 0.49 s
% 0.69/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------