TSTP Solution File: LCL076-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL076-3 : 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 : n027.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 03:10:40 EDT 2024

% Result   : Unsatisfiable 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (  18 unt;   0 def)
%            Number of atoms       :   40 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  17   ~;  11   |;   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   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f355,plain,
    $false,
    inference(avatar_sat_refutation,[],[f332,f354]) ).

fof(f354,plain,
    ~ spl3_16,
    inference(avatar_contradiction_clause,[],[f341]) ).

fof(f341,plain,
    ( $false
    | ~ spl3_16 ),
    inference(resolution,[],[f329,f217]) ).

fof(f217,plain,
    ! [X0] : is_a_theorem(implies(not(sF1),implies(X0,sF0))),
    inference(superposition,[],[f190,f8]) ).

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

fof(f190,plain,
    ! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
    inference(resolution,[],[f181,f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X2),not(X1))))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f5,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.ObJPBqopu2/Vampire---4.8_27316',cn_49) ).

fof(f5,axiom,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X4,X5))
      | is_a_theorem(implies(X3,X5))
      | ~ is_a_theorem(implies(X3,X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ObJPBqopu2/Vampire---4.8_27316',transitivity) ).

fof(f181,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f28,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.ObJPBqopu2/Vampire---4.8_27316',cn_18) ).

fof(f329,plain,
    ( ! [X0] : ~ is_a_theorem(implies(not(sF1),X0))
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl3_16
  <=> ! [X0] : ~ is_a_theorem(implies(not(sF1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f332,plain,
    spl3_16,
    inference(avatar_split_clause,[],[f331,f328]) ).

fof(f331,plain,
    ! [X0] : ~ is_a_theorem(implies(not(sF1),X0)),
    inference(subsumption_resolution,[],[f323,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(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.ObJPBqopu2/Vampire---4.8_27316',prove_cn_40) ).

fof(f323,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(not(sF1),X0))
      | is_a_theorem(sF2) ),
    inference(resolution,[],[f315,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.ObJPBqopu2/Vampire---4.8_27316',condensed_detachment) ).

fof(f315,plain,
    ! [X0] : is_a_theorem(implies(implies(not(sF1),X0),sF2)),
    inference(subsumption_resolution,[],[f309,f217]) ).

fof(f309,plain,
    ! [X0] :
      ( is_a_theorem(implies(implies(not(sF1),X0),sF2))
      | ~ is_a_theorem(implies(not(sF1),implies(X0,sF0))) ),
    inference(resolution,[],[f30,f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.ObJPBqopu2/Vampire---4.8_27316',cn_35) ).

fof(f30,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,implies(not(sF1),sF0)))
      | is_a_theorem(implies(X0,sF2)) ),
    inference(resolution,[],[f22,f5]) ).

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,[],[f4,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : LCL076-3 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.10  % 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
% 0.09/0.30  % Computer : n027.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 17:06:32 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a CNF_UNS_RFO_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.ObJPBqopu2/Vampire---4.8_27316
% 0.60/0.78  % (27432)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (27430)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)
% 0.60/0.78  % (27434)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)
% 0.60/0.78  % (27433)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)
% 0.60/0.78  % (27431)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)
% 0.60/0.78  % (27435)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)
% 0.60/0.78  % (27436)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)
% 0.60/0.78  % (27437)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)
% 0.60/0.79  % (27434)Instruction limit reached!
% 0.60/0.79  % (27434)------------------------------
% 0.60/0.79  % (27434)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (27434)Termination reason: Unknown
% 0.60/0.79  % (27434)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (27434)Memory used [KB]: 1044
% 0.60/0.79  % (27434)Time elapsed: 0.014 s
% 0.60/0.79  % (27434)Instructions burned: 34 (million)
% 0.60/0.79  % (27434)------------------------------
% 0.60/0.79  % (27434)------------------------------
% 0.60/0.80  % (27435)Instruction limit reached!
% 0.60/0.80  % (27435)------------------------------
% 0.60/0.80  % (27435)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (27435)Termination reason: Unknown
% 0.60/0.80  % (27435)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (27435)Memory used [KB]: 1075
% 0.60/0.80  % (27435)Time elapsed: 0.017 s
% 0.60/0.80  % (27435)Instructions burned: 45 (million)
% 0.60/0.80  % (27435)------------------------------
% 0.60/0.80  % (27435)------------------------------
% 0.60/0.80  % (27438)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)
% 0.60/0.80  % (27433)Instruction limit reached!
% 0.60/0.80  % (27433)------------------------------
% 0.60/0.80  % (27433)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (27433)Termination reason: Unknown
% 0.60/0.80  % (27433)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (27433)Memory used [KB]: 1385
% 0.60/0.80  % (27433)Time elapsed: 0.018 s
% 0.60/0.80  % (27433)Instructions burned: 33 (million)
% 0.60/0.80  % (27433)------------------------------
% 0.60/0.80  % (27433)------------------------------
% 0.60/0.80  % (27430)Instruction limit reached!
% 0.60/0.80  % (27430)------------------------------
% 0.60/0.80  % (27430)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (27430)Termination reason: Unknown
% 0.60/0.80  % (27430)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (27430)Memory used [KB]: 1157
% 0.60/0.80  % (27430)Time elapsed: 0.020 s
% 0.60/0.80  % (27430)Instructions burned: 36 (million)
% 0.60/0.80  % (27430)------------------------------
% 0.60/0.80  % (27430)------------------------------
% 0.60/0.80  % (27439)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)
% 0.60/0.80  % (27440)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)
% 0.60/0.80  % (27441)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)
% 0.60/0.81  % (27437)Instruction limit reached!
% 0.60/0.81  % (27437)------------------------------
% 0.60/0.81  % (27437)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (27437)Termination reason: Unknown
% 0.60/0.81  % (27437)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (27437)Memory used [KB]: 1156
% 0.60/0.81  % (27437)Time elapsed: 0.027 s
% 0.60/0.81  % (27437)Instructions burned: 57 (million)
% 0.60/0.81  % (27437)------------------------------
% 0.60/0.81  % (27437)------------------------------
% 0.60/0.81  % (27440)First to succeed.
% 0.60/0.81  % (27442)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 (2994ds/518Mi)
% 0.60/0.81  % (27440)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (27440)------------------------------
% 0.60/0.81  % (27440)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (27440)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (27440)Memory used [KB]: 1153
% 0.60/0.81  % (27440)Time elapsed: 0.032 s
% 0.60/0.81  % (27440)Instructions burned: 17 (million)
% 0.60/0.81  % (27440)------------------------------
% 0.60/0.81  % (27440)------------------------------
% 0.60/0.81  % (27423)Success in time 0.514 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------