TSTP Solution File: HEN012-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN012-3 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 02:33:33 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   19 (  13 unt;   0 def)
%            Number of atoms       :   26 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f537,plain,
    $false,
    inference(subsumption_resolution,[],[f8,f410]) ).

fof(f410,plain,
    ! [X0] : less_equal(X0,X0),
    inference(trivial_inequality_removal,[],[f378]) ).

fof(f378,plain,
    ! [X0] :
      ( zero != zero
      | less_equal(X0,X0) ),
    inference(superposition,[],[f2,f314]) ).

fof(f314,plain,
    ! [X0] : zero = divide(X0,X0),
    inference(resolution,[],[f78,f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ less_equal(X0,zero)
      | zero = X0 ),
    inference(resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox/tmp/tmp.EMIfCcDNS3/Vampire---4.8_5303',zero_is_smallest) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X1,X0)
      | X0 = X1
      | ~ less_equal(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.EMIfCcDNS3/Vampire---4.8_5303',less_equal_and_equal) ).

fof(f78,plain,
    ! [X0] : less_equal(divide(X0,X0),zero),
    inference(trivial_inequality_removal,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( zero != zero
      | less_equal(divide(X0,X0),zero) ),
    inference(superposition,[],[f2,f58]) ).

fof(f58,plain,
    ! [X0] : zero = divide(divide(X0,X0),zero),
    inference(resolution,[],[f54,f29]) ).

fof(f54,plain,
    ! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
    inference(superposition,[],[f41,f9]) ).

fof(f9,plain,
    ! [X0] : zero = divide(zero,X0),
    inference(resolution,[],[f1,f5]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | divide(X0,X1) = zero ),
    file('/export/starexec/sandbox/tmp/tmp.EMIfCcDNS3/Vampire---4.8_5303',quotient_less_equal1) ).

fof(f41,plain,
    ! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
    inference(superposition,[],[f4,f10]) ).

fof(f10,plain,
    ! [X0,X1] : zero = divide(divide(X0,X1),X0),
    inference(resolution,[],[f1,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    file('/export/starexec/sandbox/tmp/tmp.EMIfCcDNS3/Vampire---4.8_5303',quotient_smaller_than_numerator) ).

fof(f4,axiom,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox/tmp/tmp.EMIfCcDNS3/Vampire---4.8_5303',quotient_property) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | less_equal(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.EMIfCcDNS3/Vampire---4.8_5303',quotient_less_equal2) ).

fof(f8,axiom,
    ~ less_equal(a,a),
    file('/export/starexec/sandbox/tmp/tmp.EMIfCcDNS3/Vampire---4.8_5303',prove_a_LE_a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : HEN012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15  % 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
% 0.15/0.37  % Computer : n021.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Apr 30 16:35:11 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.37  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.EMIfCcDNS3/Vampire---4.8_5303
% 0.54/0.75  % (5561)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)
% 0.54/0.75  % (5561)Refutation not found, incomplete strategy% (5561)------------------------------
% 0.54/0.75  % (5561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (5561)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (5561)Memory used [KB]: 951
% 0.54/0.75  % (5561)Time elapsed: 0.001 s
% 0.54/0.75  % (5561)Instructions burned: 2 (million)
% 0.54/0.75  % (5561)------------------------------
% 0.54/0.75  % (5561)------------------------------
% 0.54/0.75  % (5562)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)
% 0.54/0.75  % (5555)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)
% 0.54/0.75  % (5557)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (5558)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)
% 0.54/0.75  % (5556)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)
% 0.54/0.75  % (5562)Refutation not found, incomplete strategy% (5562)------------------------------
% 0.54/0.75  % (5562)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (5562)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (5562)Memory used [KB]: 951
% 0.54/0.75  % (5562)Time elapsed: 0.002 s
% 0.54/0.75  % (5562)Instructions burned: 2 (million)
% 0.54/0.75  % (5562)------------------------------
% 0.54/0.75  % (5562)------------------------------
% 0.54/0.75  % (5559)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)
% 0.54/0.75  % (5560)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)
% 0.54/0.75  % (5558)Refutation not found, incomplete strategy% (5558)------------------------------
% 0.54/0.75  % (5558)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (5558)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (5558)Memory used [KB]: 951
% 0.54/0.75  % (5558)Time elapsed: 0.002 s
% 0.54/0.75  % (5558)Instructions burned: 2 (million)
% 0.54/0.75  % (5558)------------------------------
% 0.54/0.75  % (5558)------------------------------
% 0.54/0.75  % (5560)Refutation not found, incomplete strategy% (5560)------------------------------
% 0.54/0.75  % (5560)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (5560)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (5560)Memory used [KB]: 951
% 0.54/0.75  % (5560)Time elapsed: 0.002 s
% 0.54/0.75  % (5560)Instructions burned: 2 (million)
% 0.54/0.75  % (5560)------------------------------
% 0.54/0.75  % (5560)------------------------------
% 0.54/0.75  % (5559)Refutation not found, incomplete strategy% (5559)------------------------------
% 0.54/0.75  % (5559)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (5559)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (5559)Memory used [KB]: 957
% 0.54/0.76  % (5559)Time elapsed: 0.002 s
% 0.54/0.76  % (5559)Instructions burned: 2 (million)
% 0.54/0.76  % (5559)------------------------------
% 0.54/0.76  % (5559)------------------------------
% 0.54/0.76  % (5555)Refutation not found, incomplete strategy% (5555)------------------------------
% 0.54/0.76  % (5555)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (5555)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (5555)Memory used [KB]: 987
% 0.54/0.76  % (5555)Time elapsed: 0.003 s
% 0.54/0.76  % (5555)Instructions burned: 2 (million)
% 0.54/0.76  % (5555)------------------------------
% 0.54/0.76  % (5555)------------------------------
% 0.61/0.76  % (5564)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)
% 0.61/0.76  % (5564)Refutation not found, incomplete strategy% (5564)------------------------------
% 0.61/0.76  % (5564)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (5564)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5564)Memory used [KB]: 958
% 0.61/0.76  % (5564)Time elapsed: 0.001 s
% 0.61/0.76  % (5564)Instructions burned: 2 (million)
% 0.61/0.76  % (5564)------------------------------
% 0.61/0.76  % (5564)------------------------------
% 0.61/0.76  % (5563)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)
% 0.61/0.76  % (5563)Refutation not found, incomplete strategy% (5563)------------------------------
% 0.61/0.76  % (5563)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (5563)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5563)Memory used [KB]: 951
% 0.61/0.76  % (5563)Time elapsed: 0.002 s
% 0.61/0.76  % (5563)Instructions burned: 2 (million)
% 0.61/0.76  % (5563)------------------------------
% 0.61/0.76  % (5563)------------------------------
% 0.61/0.76  % (5565)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)
% 0.61/0.76  % (5566)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)
% 0.61/0.76  % (5567)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)
% 0.61/0.76  % (5565)Refutation not found, incomplete strategy% (5565)------------------------------
% 0.61/0.76  % (5565)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (5565)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5565)Memory used [KB]: 952
% 0.61/0.76  % (5568)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)
% 0.61/0.76  % (5565)Time elapsed: 0.002 s
% 0.61/0.76  % (5565)Instructions burned: 2 (million)
% 0.61/0.76  % (5565)------------------------------
% 0.61/0.76  % (5565)------------------------------
% 0.61/0.76  % (5569)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)
% 0.61/0.76  % (5567)Refutation not found, incomplete strategy% (5567)------------------------------
% 0.61/0.76  % (5567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (5567)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5567)Memory used [KB]: 956
% 0.61/0.76  % (5567)Time elapsed: 0.003 s
% 0.61/0.76  % (5567)Instructions burned: 2 (million)
% 0.61/0.76  % (5567)------------------------------
% 0.61/0.76  % (5567)------------------------------
% 0.61/0.76  % (5568)Refutation not found, incomplete strategy% (5568)------------------------------
% 0.61/0.76  % (5568)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (5568)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5568)Memory used [KB]: 957
% 0.61/0.76  % (5568)Time elapsed: 0.002 s
% 0.61/0.76  % (5568)Instructions burned: 2 (million)
% 0.61/0.76  % (5568)------------------------------
% 0.61/0.76  % (5568)------------------------------
% 0.61/0.76  % (5570)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 (2996ds/117Mi)
% 0.61/0.76  % (5570)Refutation not found, incomplete strategy% (5570)------------------------------
% 0.61/0.76  % (5570)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (5570)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (5570)Memory used [KB]: 951
% 0.61/0.76  % (5570)Time elapsed: 0.002 s
% 0.61/0.76  % (5570)Instructions burned: 2 (million)
% 0.61/0.76  % (5570)------------------------------
% 0.61/0.76  % (5570)------------------------------
% 0.61/0.76  % (5572)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 (2996ds/93Mi)
% 0.61/0.77  % (5573)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 (2996ds/62Mi)
% 0.61/0.77  % (5571)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 (2996ds/143Mi)
% 0.61/0.77  % (5574)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.61/0.77  % (5571)Refutation not found, incomplete strategy% (5571)------------------------------
% 0.61/0.77  % (5571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (5571)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (5571)Memory used [KB]: 972
% 0.61/0.77  % (5571)Time elapsed: 0.003 s
% 0.61/0.77  % (5571)Instructions burned: 2 (million)
% 0.61/0.77  % (5571)------------------------------
% 0.61/0.77  % (5571)------------------------------
% 0.61/0.77  % (5569)First to succeed.
% 0.61/0.77  % (5569)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (5569)------------------------------
% 0.61/0.77  % (5569)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (5569)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (5569)Memory used [KB]: 1111
% 0.61/0.77  % (5569)Time elapsed: 0.008 s
% 0.61/0.77  % (5569)Instructions burned: 22 (million)
% 0.61/0.77  % (5569)------------------------------
% 0.61/0.77  % (5569)------------------------------
% 0.61/0.77  % (5551)Success in time 0.384 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------