TSTP Solution File: FLD061-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD061-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 05:07:05 EDT 2024

% Result   : Unsatisfiable 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   51 (  28   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f339,plain,
    $false,
    inference(subsumption_resolution,[],[f338,f29]) ).

fof(f29,axiom,
    defined(c),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',c_is_defined) ).

fof(f338,plain,
    ~ defined(c),
    inference(subsumption_resolution,[],[f337,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',b_is_defined) ).

fof(f337,plain,
    ( ~ defined(b)
    | ~ defined(c) ),
    inference(resolution,[],[f230,f19]) ).

fof(f19,axiom,
    ! [X3,X0] :
      ( sum(X0,X3,add(X0,X3))
      | ~ defined(X0)
      | ~ defined(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',totality_of_addition) ).

fof(f230,plain,
    ! [X0] : ~ sum(b,c,X0),
    inference(subsumption_resolution,[],[f225,f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ sum(b,c,X0)
      | less_or_equal(u,X0) ),
    inference(resolution,[],[f74,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( sum(X3,X0,X5)
      | ~ sum(X0,X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',commutativity_addition) ).

fof(f74,plain,
    ! [X0] :
      ( ~ sum(c,b,X0)
      | less_or_equal(u,X0) ),
    inference(resolution,[],[f63,f35]) ).

fof(f35,axiom,
    sum(a,c,u),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',sum_9) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( ~ sum(a,X0,X1)
      | less_or_equal(X1,X2)
      | ~ sum(X0,b,X2) ),
    inference(resolution,[],[f38,f5]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ sum(b,X0,X2)
      | ~ sum(a,X0,X1)
      | less_or_equal(X1,X2) ),
    inference(resolution,[],[f33,f24]) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ less_or_equal(X0,X3)
      | ~ sum(X0,X5,X4)
      | ~ sum(X3,X5,X1)
      | less_or_equal(X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',compatibility_of_order_relation_and_addition) ).

fof(f33,axiom,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',less_or_equal_7) ).

fof(f225,plain,
    ! [X0] :
      ( ~ less_or_equal(u,X0)
      | ~ sum(b,c,X0) ),
    inference(resolution,[],[f157,f37]) ).

fof(f37,axiom,
    ~ less_or_equal(u,v),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',not_less_or_equal_11) ).

fof(f157,plain,
    ! [X0,X1] :
      ( less_or_equal(X1,v)
      | ~ less_or_equal(X1,X0)
      | ~ sum(b,c,X0) ),
    inference(resolution,[],[f149,f22]) ).

fof(f22,axiom,
    ! [X3,X0,X5] :
      ( ~ less_or_equal(X3,X5)
      | ~ less_or_equal(X0,X3)
      | less_or_equal(X0,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',transitivity_of_order_relation) ).

fof(f149,plain,
    ! [X0] :
      ( less_or_equal(X0,v)
      | ~ sum(b,c,X0) ),
    inference(resolution,[],[f69,f36]) ).

fof(f36,axiom,
    sum(d,b,v),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',sum_10) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ~ sum(d,X0,X1)
      | less_or_equal(X2,X1)
      | ~ sum(X0,c,X2) ),
    inference(resolution,[],[f50,f5]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ sum(c,X0,X1)
      | ~ sum(d,X0,X2)
      | less_or_equal(X1,X2) ),
    inference(resolution,[],[f34,f24]) ).

fof(f34,axiom,
    less_or_equal(c,d),
    file('/export/starexec/sandbox/tmp/tmp.oF0aJGIu8e/Vampire---4.8_32749',less_or_equal_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : FLD061-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n009.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   : Fri May  3 19:44:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.16/0.37  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.oF0aJGIu8e/Vampire---4.8_32749
% 0.58/0.75  % (556)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)
% 0.58/0.75  % (550)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)
% 0.58/0.75  % (551)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)
% 0.58/0.75  % (553)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)
% 0.58/0.75  % (555)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)
% 0.58/0.75  % (552)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (557)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)
% 0.58/0.75  % (554)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)
% 0.60/0.76  % (553)Instruction limit reached!
% 0.60/0.76  % (553)------------------------------
% 0.60/0.76  % (553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (553)Termination reason: Unknown
% 0.60/0.76  % (553)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (553)Memory used [KB]: 1242
% 0.60/0.76  % (553)Time elapsed: 0.019 s
% 0.60/0.76  % (553)Instructions burned: 33 (million)
% 0.60/0.76  % (553)------------------------------
% 0.60/0.76  % (553)------------------------------
% 0.60/0.77  % (550)Instruction limit reached!
% 0.60/0.77  % (550)------------------------------
% 0.60/0.77  % (550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (550)Termination reason: Unknown
% 0.60/0.77  % (550)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (550)Memory used [KB]: 1231
% 0.60/0.77  % (550)Time elapsed: 0.021 s
% 0.60/0.77  % (550)Instructions burned: 35 (million)
% 0.60/0.77  % (550)------------------------------
% 0.60/0.77  % (550)------------------------------
% 0.60/0.77  % (551)Instruction limit reached!
% 0.60/0.77  % (551)------------------------------
% 0.60/0.77  % (551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (551)Termination reason: Unknown
% 0.60/0.77  % (551)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (551)Memory used [KB]: 1199
% 0.60/0.77  % (551)Time elapsed: 0.023 s
% 0.60/0.77  % (551)Instructions burned: 51 (million)
% 0.60/0.77  % (551)------------------------------
% 0.60/0.77  % (551)------------------------------
% 0.60/0.77  % (558)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)
% 0.60/0.77  % (555)Instruction limit reached!
% 0.60/0.77  % (555)------------------------------
% 0.60/0.77  % (555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (555)Termination reason: Unknown
% 0.60/0.77  % (555)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (555)Memory used [KB]: 1442
% 0.60/0.77  % (555)Time elapsed: 0.024 s
% 0.60/0.77  % (555)Instructions burned: 45 (million)
% 0.60/0.77  % (555)------------------------------
% 0.60/0.77  % (555)------------------------------
% 0.60/0.77  % (559)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)
% 0.60/0.77  % (558)Refutation not found, incomplete strategy% (558)------------------------------
% 0.60/0.77  % (558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (558)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (558)Memory used [KB]: 982
% 0.60/0.77  % (558)Time elapsed: 0.004 s
% 0.60/0.77  % (558)Instructions burned: 3 (million)
% 0.60/0.77  % (558)------------------------------
% 0.60/0.77  % (558)------------------------------
% 0.60/0.77  % (556)Instruction limit reached!
% 0.60/0.77  % (556)------------------------------
% 0.60/0.77  % (556)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (556)Termination reason: Unknown
% 0.60/0.77  % (556)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (556)Memory used [KB]: 2262
% 0.60/0.77  % (556)Time elapsed: 0.027 s
% 0.60/0.77  % (556)Instructions burned: 83 (million)
% 0.60/0.77  % (556)------------------------------
% 0.60/0.77  % (556)------------------------------
% 0.60/0.77  % (560)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)
% 0.60/0.77  % (561)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)
% 0.60/0.77  % (563)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 (2996ds/42Mi)
% 0.60/0.77  % (554)Instruction limit reached!
% 0.60/0.77  % (554)------------------------------
% 0.60/0.77  % (554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (554)Termination reason: Unknown
% 0.60/0.77  % (554)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (554)Memory used [KB]: 1364
% 0.60/0.77  % (554)Time elapsed: 0.023 s
% 0.60/0.77  % (554)Instructions burned: 35 (million)
% 0.60/0.77  % (554)------------------------------
% 0.60/0.77  % (554)------------------------------
% 0.60/0.78  % (557)Instruction limit reached!
% 0.60/0.78  % (557)------------------------------
% 0.60/0.78  % (557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (557)Termination reason: Unknown
% 0.60/0.78  % (557)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (557)Memory used [KB]: 1283
% 0.60/0.78  % (557)Time elapsed: 0.029 s
% 0.60/0.78  % (557)Instructions burned: 56 (million)
% 0.60/0.78  % (557)------------------------------
% 0.60/0.78  % (557)------------------------------
% 0.60/0.78  % (562)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)
% 0.60/0.78  % (564)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 (2996ds/243Mi)
% 0.60/0.78  % (563)First to succeed.
% 0.60/0.78  % (563)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-546"
% 0.60/0.78  % (563)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  % (563)------------------------------
% 0.60/0.78  % (563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (563)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (563)Memory used [KB]: 1112
% 0.60/0.78  % (563)Time elapsed: 0.007 s
% 0.60/0.78  % (563)Instructions burned: 17 (million)
% 0.60/0.78  % (546)Success in time 0.393 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------