TSTP Solution File: LCL083-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL083-1 : 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 : n004.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 03:10:42 EDT 2024

% Result   : Unsatisfiable 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   58 (  30   ~;  26   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f400,plain,
    $false,
    inference(avatar_sat_refutation,[],[f14,f120,f399]) ).

fof(f399,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f389]) ).

fof(f389,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f373,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(implies(implies(implies(a,b),a),a)),
    file('/export/starexec/sandbox2/tmp/tmp.Av6kNq1Fqe/Vampire---4.8_7688',prove_ic_3) ).

fof(f373,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
    | ~ spl0_2 ),
    inference(resolution,[],[f37,f33]) ).

fof(f33,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
    | ~ spl0_2 ),
    inference(resolution,[],[f27,f25]) ).

fof(f25,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X3),implies(implies(X0,X1),implies(X2,X1))))
        | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f16,f4]) ).

fof(f4,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X0),implies(X3,X0)))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f2,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.Av6kNq1Fqe/Vampire---4.8_7688',condensed_detachment) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
    file('/export/starexec/sandbox2/tmp/tmp.Av6kNq1Fqe/Vampire---4.8_7688',ic_JLukasiewicz) ).

fof(f16,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X1,X4),X0)))
        | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f13,f2]) ).

fof(f13,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(implies(implies(X1,X2),X0)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
    ( spl0_2
  <=> ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(implies(implies(X1,X2),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f27,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
    | ~ spl0_2 ),
    inference(resolution,[],[f25,f2]) ).

fof(f37,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X1,X3),X1)))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f27,f13]) ).

fof(f120,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f107]) ).

fof(f107,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f10,f2]) ).

fof(f10,plain,
    ( ! [X3] : ~ is_a_theorem(X3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f9]) ).

fof(f9,plain,
    ( spl0_1
  <=> ! [X3] : ~ is_a_theorem(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f14,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f7,f12,f9]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(implies(X1,X2),X0))
      | ~ is_a_theorem(X3)
      | is_a_theorem(X1) ),
    inference(resolution,[],[f5,f1]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X3,X0))
      | ~ is_a_theorem(implies(X2,X0))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f4,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15  % 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
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 16:35:48 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.16/0.36  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.Av6kNq1Fqe/Vampire---4.8_7688
% 0.54/0.76  % (7912)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)
% 0.54/0.76  % (7914)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)
% 0.54/0.76  % (7914)Refutation not found, incomplete strategy% (7914)------------------------------
% 0.54/0.76  % (7914)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (7912)Refutation not found, incomplete strategy% (7912)------------------------------
% 0.54/0.76  % (7912)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (7912)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (7912)Memory used [KB]: 958
% 0.54/0.76  % (7912)Time elapsed: 0.001 s
% 0.54/0.76  % (7912)Instructions burned: 2 (million)
% 0.54/0.76  % (7912)------------------------------
% 0.54/0.76  % (7912)------------------------------
% 0.54/0.76  % (7914)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (7914)Memory used [KB]: 958
% 0.54/0.76  % (7914)Time elapsed: 0.001 s
% 0.54/0.76  % (7914)Instructions burned: 2 (million)
% 0.54/0.76  % (7914)------------------------------
% 0.54/0.76  % (7914)------------------------------
% 0.54/0.76  % (7907)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)
% 0.54/0.76  % (7909)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76  % (7908)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)
% 0.54/0.76  % (7910)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)
% 0.54/0.76  % (7911)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)
% 0.54/0.76  % (7913)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)
% 0.54/0.76  % (7911)Refutation not found, incomplete strategy% (7911)------------------------------
% 0.54/0.76  % (7911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (7911)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (7911)Memory used [KB]: 959
% 0.54/0.76  % (7911)Time elapsed: 0.002 s
% 0.54/0.76  % (7911)Instructions burned: 2 (million)
% 0.54/0.76  % (7911)------------------------------
% 0.54/0.76  % (7911)------------------------------
% 0.54/0.76  % (7918)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)
% 0.54/0.76  % (7919)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)
% 0.54/0.77  % (7921)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)
% 0.60/0.78  % (7918)Instruction limit reached!
% 0.60/0.78  % (7918)------------------------------
% 0.60/0.78  % (7918)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (7918)Termination reason: Unknown
% 0.60/0.78  % (7918)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (7918)Memory used [KB]: 1534
% 0.60/0.78  % (7918)Time elapsed: 0.017 s
% 0.60/0.78  % (7918)Instructions burned: 57 (million)
% 0.60/0.78  % (7918)------------------------------
% 0.60/0.78  % (7918)------------------------------
% 0.60/0.78  % (7919)Instruction limit reached!
% 0.60/0.78  % (7919)------------------------------
% 0.60/0.78  % (7919)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (7919)Termination reason: Unknown
% 0.60/0.78  % (7919)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (7919)Memory used [KB]: 1590
% 0.60/0.78  % (7919)Time elapsed: 0.017 s
% 0.60/0.78  % (7919)Instructions burned: 52 (million)
% 0.60/0.78  % (7919)------------------------------
% 0.60/0.78  % (7919)------------------------------
% 0.60/0.78  % (7910)Instruction limit reached!
% 0.60/0.78  % (7910)------------------------------
% 0.60/0.78  % (7910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (7910)Termination reason: Unknown
% 0.60/0.78  % (7910)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (7910)Memory used [KB]: 1264
% 0.60/0.78  % (7910)Time elapsed: 0.020 s
% 0.60/0.78  % (7910)Instructions burned: 34 (million)
% 0.60/0.78  % (7910)------------------------------
% 0.60/0.78  % (7910)------------------------------
% 0.60/0.78  % (7909)First to succeed.
% 0.60/0.78  % (7907)Instruction limit reached!
% 0.60/0.78  % (7907)------------------------------
% 0.60/0.78  % (7907)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (7907)Termination reason: Unknown
% 0.60/0.78  % (7907)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (7907)Memory used [KB]: 1261
% 0.60/0.78  % (7907)Time elapsed: 0.021 s
% 0.60/0.78  % (7907)Instructions burned: 35 (million)
% 0.60/0.78  % (7907)------------------------------
% 0.60/0.78  % (7907)------------------------------
% 0.60/0.78  % (7930)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)
% 0.60/0.78  % (7931)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)
% 0.60/0.78  % (7909)Refutation found. Thanks to Tanya!
% 0.60/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78  % (7909)------------------------------
% 0.60/0.78  % (7909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (7909)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (7909)Memory used [KB]: 1136
% 0.60/0.78  % (7909)Time elapsed: 0.021 s
% 0.60/0.78  % (7909)Instructions burned: 33 (million)
% 0.60/0.78  % (7909)------------------------------
% 0.60/0.78  % (7909)------------------------------
% 0.60/0.78  % (7863)Success in time 0.403 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------