TSTP Solution File: LCL109-5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL109-5 : 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 : n016.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 03:10:52 EDT 2024

% Result   : Unsatisfiable 0.61s 0.78s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   44 (  11 unt;   0 def)
%            Number of atoms       :   87 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   86 (  43   ~;  39   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f388,plain,
    $false,
    inference(avatar_sat_refutation,[],[f95,f97,f102,f365,f387]) ).

fof(f387,plain,
    ( spl0_1
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f384]) ).

fof(f384,plain,
    ( $false
    | spl0_1
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(resolution,[],[f367,f36]) ).

fof(f36,plain,
    ( ~ ordered(implies(x,y),truth)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl0_1
  <=> ordered(implies(x,y),truth) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f367,plain,
    ( ! [X0] : ordered(X0,truth)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(resolution,[],[f360,f148]) ).

fof(f148,plain,
    ( ! [X0,X1] :
        ( ~ ordered(implies(X0,X1),X1)
        | ordered(X0,truth) )
    | ~ spl0_10 ),
    inference(superposition,[],[f137,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( truth = implies(X0,X1)
      | ~ ordered(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yccUkdtx5S/Vampire---4.8_13258',partial_order_definition1) ).

fof(f137,plain,
    ( ! [X0,X1] : ordered(X0,implies(implies(X0,X1),X1))
    | ~ spl0_10 ),
    inference(resolution,[],[f11,f94]) ).

fof(f94,plain,
    ( ! [X0] : ordered(X0,X0)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl0_10
  <=> ! [X0] : ordered(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f11,axiom,
    ! [X2,X0,X1] :
      ( ~ ordered(X0,implies(X1,X2))
      | ordered(X1,implies(X0,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.yccUkdtx5S/Vampire---4.8_13258',lemma_3_1) ).

fof(f360,plain,
    ( ! [X0] : ordered(implies(X0,truth),truth)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f359,plain,
    ( spl0_11
  <=> ! [X0] : ordered(implies(X0,truth),truth) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f365,plain,
    ( spl0_11
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f364,f93,f89,f359]) ).

fof(f89,plain,
    ( spl0_9
  <=> ordered(truth,truth) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f364,plain,
    ( ! [X0] :
        ( ~ ordered(truth,truth)
        | ordered(implies(X0,truth),truth) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f363,f152]) ).

fof(f152,plain,
    ( ! [X0] : truth = implies(X0,X0)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f144,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.yccUkdtx5S/Vampire---4.8_13258',wajsberg_1) ).

fof(f144,plain,
    ( ! [X0] : truth = implies(implies(truth,X0),X0)
    | ~ spl0_10 ),
    inference(resolution,[],[f137,f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ ordered(truth,X0)
      | truth = X0 ),
    inference(superposition,[],[f7,f1]) ).

fof(f363,plain,
    ( ! [X0] :
        ( ~ ordered(truth,implies(X0,X0))
        | ordered(implies(X0,truth),truth) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f343,f1]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ ordered(truth,implies(implies(truth,X0),X0))
        | ordered(implies(X0,truth),truth) )
    | ~ spl0_10 ),
    inference(superposition,[],[f149,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.yccUkdtx5S/Vampire---4.8_13258',wajsberg_3) ).

fof(f149,plain,
    ( ! [X0] :
        ( ~ ordered(truth,implies(X0,truth))
        | ordered(X0,truth) )
    | ~ spl0_10 ),
    inference(superposition,[],[f137,f85]) ).

fof(f85,plain,
    ! [X0] :
      ( truth = implies(X0,truth)
      | ~ ordered(truth,X0) ),
    inference(resolution,[],[f81,f24]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ordered(X0,implies(X1,X0))
      | ~ ordered(truth,X1) ),
    inference(superposition,[],[f9,f1]) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( ordered(implies(X0,X2),implies(X1,X2))
      | ~ ordered(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yccUkdtx5S/Vampire---4.8_13258',lemma_1) ).

fof(f102,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f99,f34]) ).

fof(f99,plain,
    ~ ordered(implies(x,y),truth),
    inference(resolution,[],[f83,f30]) ).

fof(f30,plain,
    ~ ordered(implies(implies(x,y),implies(y,x)),implies(y,x)),
    inference(trivial_inequality_removal,[],[f27]) ).

fof(f27,plain,
    ( truth != truth
    | ~ ordered(implies(implies(x,y),implies(y,x)),implies(y,x)) ),
    inference(superposition,[],[f23,f7]) ).

fof(f23,plain,
    truth != implies(implies(implies(x,y),implies(y,x)),implies(y,x)),
    inference(definition_unfolding,[],[f17,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.yccUkdtx5S/Vampire---4.8_13258',big_V_definition) ).

fof(f17,axiom,
    truth != big_V(implies(x,y),implies(y,x)),
    file('/export/starexec/sandbox2/tmp/tmp.yccUkdtx5S/Vampire---4.8_13258',prove_mv_4) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ordered(implies(X1,X0),X0)
      | ~ ordered(X1,truth) ),
    inference(superposition,[],[f9,f1]) ).

fof(f97,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f96]) ).

fof(f96,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f91,f79]) ).

fof(f79,plain,
    ordered(truth,truth),
    inference(equality_resolution,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( truth != X0
      | ordered(truth,X0) ),
    inference(superposition,[],[f8,f1]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( truth != implies(X0,X1)
      | ordered(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yccUkdtx5S/Vampire---4.8_13258',partial_order_definition2) ).

fof(f91,plain,
    ( ~ ordered(truth,truth)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f95,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f86,f93,f89]) ).

fof(f86,plain,
    ! [X0] :
      ( ordered(X0,X0)
      | ~ ordered(truth,truth) ),
    inference(superposition,[],[f81,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15  % 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 : n016.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   : Tue Apr 30 17:12:26 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_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.yccUkdtx5S/Vampire---4.8_13258
% 0.57/0.76  % (13443)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)
% 0.57/0.76  % (13444)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)
% 0.57/0.76  % (13444)Refutation not found, incomplete strategy% (13444)------------------------------
% 0.57/0.76  % (13444)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (13444)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (13444)Memory used [KB]: 987
% 0.57/0.76  % (13444)Time elapsed: 0.003 s
% 0.57/0.76  % (13444)Instructions burned: 3 (million)
% 0.57/0.76  % (13444)------------------------------
% 0.57/0.76  % (13444)------------------------------
% 0.57/0.76  % (13438)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)
% 0.57/0.76  % (13440)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (13441)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)
% 0.57/0.76  % (13439)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)
% 0.57/0.76  % (13442)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 (2996ds/34Mi)
% 0.57/0.76  % (13445)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)
% 0.61/0.77  % (13442)Refutation not found, incomplete strategy% (13442)------------------------------
% 0.61/0.77  % (13442)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (13442)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (13442)Memory used [KB]: 983
% 0.61/0.77  % (13442)Time elapsed: 0.005 s
% 0.61/0.77  % (13442)Instructions burned: 2 (million)
% 0.61/0.77  % (13442)------------------------------
% 0.61/0.77  % (13442)------------------------------
% 0.61/0.77  % (13441)Refutation not found, incomplete strategy% (13441)------------------------------
% 0.61/0.77  % (13441)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (13441)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (13441)Memory used [KB]: 974
% 0.61/0.77  % (13441)Time elapsed: 0.005 s
% 0.61/0.77  % (13441)Instructions burned: 2 (million)
% 0.61/0.77  % (13441)------------------------------
% 0.61/0.77  % (13441)------------------------------
% 0.61/0.77  % (13438)Refutation not found, incomplete strategy% (13438)------------------------------
% 0.61/0.77  % (13438)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (13445)Refutation not found, incomplete strategy% (13445)------------------------------
% 0.61/0.77  % (13445)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (13445)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (13445)Memory used [KB]: 983
% 0.61/0.77  % (13445)Time elapsed: 0.005 s
% 0.61/0.77  % (13445)Instructions burned: 2 (million)
% 0.61/0.77  % (13445)------------------------------
% 0.61/0.77  % (13445)------------------------------
% 0.61/0.77  % (13438)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (13438)Memory used [KB]: 1003
% 0.61/0.77  % (13438)Time elapsed: 0.006 s
% 0.61/0.77  % (13438)Instructions burned: 3 (million)
% 0.61/0.77  % (13438)------------------------------
% 0.61/0.77  % (13438)------------------------------
% 0.61/0.77  % (13446)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)
% 0.61/0.77  % (13447)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)
% 0.61/0.77  % (13449)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)
% 0.61/0.77  % (13450)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 (2996ds/52Mi)
% 0.61/0.77  % (13451)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 (2996ds/518Mi)
% 0.61/0.77  % (13447)Refutation not found, incomplete strategy% (13447)------------------------------
% 0.61/0.77  % (13447)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (13447)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (13447)Memory used [KB]: 970
% 0.61/0.77  % (13447)Time elapsed: 0.004 s
% 0.61/0.77  % (13447)Instructions burned: 2 (million)
% 0.61/0.77  % (13447)------------------------------
% 0.61/0.77  % (13447)------------------------------
% 0.61/0.78  % (13439)First to succeed.
% 0.61/0.78  % (13446)Also succeeded, but the first one will report.
% 0.61/0.78  % (13439)Refutation found. Thanks to Tanya!
% 0.61/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78  % (13439)------------------------------
% 0.61/0.78  % (13439)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (13439)Termination reason: Refutation
% 0.61/0.78  
% 0.61/0.78  % (13439)Memory used [KB]: 1125
% 0.61/0.78  % (13439)Time elapsed: 0.016 s
% 0.61/0.78  % (13439)Instructions burned: 13 (million)
% 0.61/0.78  % (13439)------------------------------
% 0.61/0.78  % (13439)------------------------------
% 0.61/0.78  % (13414)Success in time 0.409 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------