TSTP Solution File: HEN005-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN005-3 : 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 : n024.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 06:11:37 EDT 2024

% Result   : Unsatisfiable 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   44 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  23   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f303,plain,
    $false,
    inference(resolution,[],[f293,f8]) ).

fof(f8,axiom,
    less_equal(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.8VFddKCpOi/Vampire---4.8_14564',a_LE_b) ).

fof(f293,plain,
    ~ less_equal(a,b),
    inference(resolution,[],[f280,f10]) ).

fof(f10,axiom,
    ~ less_equal(a,c),
    file('/export/starexec/sandbox2/tmp/tmp.8VFddKCpOi/Vampire---4.8_14564',prove_a_LE_c) ).

fof(f280,plain,
    ! [X0] :
      ( less_equal(X0,c)
      | ~ less_equal(X0,b) ),
    inference(resolution,[],[f261,f9]) ).

fof(f9,axiom,
    less_equal(b,c),
    file('/export/starexec/sandbox2/tmp/tmp.8VFddKCpOi/Vampire---4.8_14564',b_LE_c) ).

fof(f261,plain,
    ! [X2,X0,X1] :
      ( ~ less_equal(X2,X1)
      | less_equal(X0,X1)
      | ~ less_equal(X0,X2) ),
    inference(trivial_inequality_removal,[],[f234]) ).

fof(f234,plain,
    ! [X2,X0,X1] :
      ( zero != zero
      | less_equal(X0,X1)
      | ~ less_equal(X2,X1)
      | ~ less_equal(X0,X2) ),
    inference(superposition,[],[f2,f227]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( zero = divide(X0,X2)
      | ~ less_equal(X1,X2)
      | ~ less_equal(X0,X1) ),
    inference(resolution,[],[f222,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ less_equal(X0,zero)
      | zero = X0 ),
    inference(resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox2/tmp/tmp.8VFddKCpOi/Vampire---4.8_14564',zero_is_smallest) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X1,X0)
      | X0 = X1
      | ~ less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.8VFddKCpOi/Vampire---4.8_14564',less_equal_and_equal) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( less_equal(divide(X2,X1),zero)
      | ~ less_equal(X2,X0)
      | ~ less_equal(X0,X1) ),
    inference(superposition,[],[f208,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) = zero
      | ~ less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.8VFddKCpOi/Vampire---4.8_14564',quotient_less_equal1) ).

fof(f208,plain,
    ! [X2,X0,X1] :
      ( less_equal(divide(X0,X1),divide(X2,X1))
      | ~ less_equal(X0,X2) ),
    inference(trivial_inequality_removal,[],[f194]) ).

fof(f194,plain,
    ! [X2,X0,X1] :
      ( zero != zero
      | less_equal(divide(X0,X1),divide(X2,X1))
      | ~ less_equal(X0,X2) ),
    inference(superposition,[],[f2,f168]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( zero = divide(divide(X0,X2),divide(X1,X2))
      | ~ less_equal(X0,X1) ),
    inference(resolution,[],[f64,f15]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( less_equal(divide(divide(X0,X2),divide(X1,X2)),zero)
      | ~ less_equal(X0,X1) ),
    inference(forward_demodulation,[],[f58,f43]) ).

fof(f43,plain,
    ! [X0] : zero = divide(zero,X0),
    inference(resolution,[],[f15,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    file('/export/starexec/sandbox2/tmp/tmp.8VFddKCpOi/Vampire---4.8_14564',quotient_smaller_than_numerator) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(zero,X2))
      | ~ less_equal(X0,X1) ),
    inference(superposition,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox2/tmp/tmp.8VFddKCpOi/Vampire---4.8_14564',quotient_property) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.8VFddKCpOi/Vampire---4.8_14564',quotient_less_equal2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : HEN005-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 12:47:05 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36  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.8VFddKCpOi/Vampire---4.8_14564
% 0.59/0.74  % (14940)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)
% 0.59/0.75  % (14940)Refutation not found, incomplete strategy% (14940)------------------------------
% 0.59/0.75  % (14940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14940)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14940)Memory used [KB]: 956
% 0.59/0.75  % (14940)Time elapsed: 0.001 s
% 0.59/0.75  % (14940)Instructions burned: 2 (million)
% 0.59/0.75  % (14940)------------------------------
% 0.59/0.75  % (14940)------------------------------
% 0.59/0.75  % (14933)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)
% 0.59/0.75  % (14935)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (14938)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)
% 0.59/0.75  % (14934)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)
% 0.59/0.75  % (14937)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)
% 0.59/0.75  % (14936)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)
% 0.59/0.75  % (14939)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)
% 0.59/0.75  % (14938)Refutation not found, incomplete strategy% (14938)------------------------------
% 0.59/0.75  % (14938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14935)Refutation not found, incomplete strategy% (14935)------------------------------
% 0.59/0.75  % (14935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14935)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14935)Memory used [KB]: 956
% 0.59/0.75  % (14935)Time elapsed: 0.002 s
% 0.59/0.75  % (14935)Instructions burned: 2 (million)
% 0.59/0.75  % (14933)Refutation not found, incomplete strategy% (14933)------------------------------
% 0.59/0.75  % (14933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14933)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14933)Memory used [KB]: 957
% 0.59/0.75  % (14933)Time elapsed: 0.002 s
% 0.59/0.75  % (14933)Instructions burned: 2 (million)
% 0.59/0.75  % (14938)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14938)Memory used [KB]: 956
% 0.59/0.75  % (14938)Time elapsed: 0.003 s
% 0.59/0.75  % (14938)Instructions burned: 2 (million)
% 0.59/0.75  % (14936)Refutation not found, incomplete strategy% (14936)------------------------------
% 0.59/0.75  % (14936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14936)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14936)Memory used [KB]: 956
% 0.59/0.75  % (14936)Time elapsed: 0.002 s
% 0.59/0.75  % (14936)Instructions burned: 2 (million)
% 0.59/0.75  % (14935)------------------------------
% 0.59/0.75  % (14935)------------------------------
% 0.59/0.75  % (14937)Refutation not found, incomplete strategy% (14937)------------------------------
% 0.59/0.75  % (14937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14937)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14937)Memory used [KB]: 960
% 0.59/0.75  % (14937)Time elapsed: 0.002 s
% 0.59/0.75  % (14937)Instructions burned: 2 (million)
% 0.59/0.75  % (14939)Refutation not found, incomplete strategy% (14939)------------------------------
% 0.59/0.75  % (14939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14939)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14939)Memory used [KB]: 956
% 0.59/0.75  % (14939)Time elapsed: 0.002 s
% 0.59/0.75  % (14933)------------------------------
% 0.59/0.75  % (14933)------------------------------
% 0.59/0.75  % (14939)Instructions burned: 2 (million)
% 0.59/0.75  % (14936)------------------------------
% 0.59/0.75  % (14936)------------------------------
% 0.59/0.75  % (14938)------------------------------
% 0.59/0.75  % (14938)------------------------------
% 0.59/0.75  % (14937)------------------------------
% 0.59/0.75  % (14937)------------------------------
% 0.59/0.75  % (14939)------------------------------
% 0.59/0.75  % (14939)------------------------------
% 0.59/0.75  % (14941)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)
% 0.59/0.75  % (14941)Refutation not found, incomplete strategy% (14941)------------------------------
% 0.59/0.75  % (14941)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14941)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14941)Memory used [KB]: 956
% 0.59/0.75  % (14941)Time elapsed: 0.001 s
% 0.59/0.75  % (14941)Instructions burned: 2 (million)
% 0.59/0.75  % (14941)------------------------------
% 0.59/0.75  % (14941)------------------------------
% 0.59/0.75  % (14943)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)
% 0.59/0.75  % (14948)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)
% 0.59/0.75  % (14942)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)
% 0.59/0.75  % (14944)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)
% 0.59/0.75  % (14945)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)
% 0.59/0.75  % (14948)Refutation not found, incomplete strategy% (14948)------------------------------
% 0.59/0.75  % (14948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14946)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)
% 0.59/0.75  % (14948)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14948)Memory used [KB]: 956
% 0.59/0.75  % (14948)Time elapsed: 0.001 s
% 0.59/0.75  % (14948)Instructions burned: 2 (million)
% 0.59/0.75  % (14947)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)
% 0.59/0.75  % (14943)Refutation not found, incomplete strategy% (14943)------------------------------
% 0.59/0.75  % (14943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14943)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14943)Memory used [KB]: 956
% 0.59/0.75  % (14943)Time elapsed: 0.003 s
% 0.59/0.75  % (14943)Instructions burned: 2 (million)
% 0.59/0.75  % (14948)------------------------------
% 0.59/0.75  % (14948)------------------------------
% 0.59/0.75  % (14943)------------------------------
% 0.59/0.75  % (14943)------------------------------
% 0.59/0.75  % (14946)Refutation not found, incomplete strategy% (14946)------------------------------
% 0.59/0.75  % (14946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14946)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14946)Memory used [KB]: 959
% 0.59/0.75  % (14947)Refutation not found, incomplete strategy% (14947)------------------------------
% 0.59/0.75  % (14947)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14947)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14947)Memory used [KB]: 957
% 0.59/0.75  % (14942)Refutation not found, incomplete strategy% (14942)------------------------------
% 0.59/0.75  % (14942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14947)Time elapsed: 0.002 s
% 0.59/0.75  % (14947)Instructions burned: 2 (million)
% 0.59/0.75  % (14942)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14942)Memory used [KB]: 975
% 0.59/0.75  % (14942)Time elapsed: 0.003 s
% 0.59/0.75  % (14942)Instructions burned: 3 (million)
% 0.59/0.75  % (14946)Time elapsed: 0.002 s
% 0.59/0.75  % (14946)Instructions burned: 2 (million)
% 0.59/0.75  % (14945)Refutation not found, incomplete strategy% (14945)------------------------------
% 0.59/0.75  % (14945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14945)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14945)Memory used [KB]: 975
% 0.59/0.75  % (14947)------------------------------
% 0.59/0.75  % (14947)------------------------------
% 0.59/0.75  % (14945)Time elapsed: 0.004 s
% 0.59/0.75  % (14942)------------------------------
% 0.59/0.75  % (14942)------------------------------
% 0.59/0.75  % (14945)Instructions burned: 2 (million)
% 0.59/0.75  % (14946)------------------------------
% 0.59/0.75  % (14946)------------------------------
% 0.59/0.75  % (14945)------------------------------
% 0.59/0.75  % (14945)------------------------------
% 0.59/0.75  % (14934)First to succeed.
% 0.59/0.75  % (14934)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14777"
% 0.59/0.75  % (14949)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)
% 0.59/0.75  % (14934)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (14934)------------------------------
% 0.59/0.76  % (14934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (14934)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (14934)Memory used [KB]: 1083
% 0.59/0.76  % (14934)Time elapsed: 0.009 s
% 0.59/0.76  % (14934)Instructions burned: 12 (million)
% 0.59/0.76  % (14777)Success in time 0.382 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------