TSTP Solution File: BOO009-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO009-2 : 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 : n019.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 02:10:35 EDT 2024

% Result   : Unsatisfiable 0.62s 0.82s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f543,plain,
    $false,
    inference(trivial_inequality_removal,[],[f542]) ).

fof(f542,plain,
    a != a,
    inference(superposition,[],[f15,f211]) ).

fof(f211,plain,
    ! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
    inference(forward_demodulation,[],[f204,f188]) ).

fof(f188,plain,
    ! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
    inference(forward_demodulation,[],[f186,f11]) ).

fof(f11,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox/tmp/tmp.mUdrm2fV1v/Vampire---4.8_1702',multiplicative_id1) ).

fof(f186,plain,
    ! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
    inference(backward_demodulation,[],[f132,f185]) ).

fof(f185,plain,
    ! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
    inference(forward_demodulation,[],[f167,f8]) ).

fof(f8,axiom,
    ! [X0] : multiplicative_identity = add(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.mUdrm2fV1v/Vampire---4.8_1702',additive_inverse2) ).

fof(f167,plain,
    ! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
    inference(superposition,[],[f74,f11]) ).

fof(f74,plain,
    ! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),X1),X0),
    inference(forward_demodulation,[],[f61,f12]) ).

fof(f12,axiom,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.mUdrm2fV1v/Vampire---4.8_1702',multiplicative_id2) ).

fof(f61,plain,
    ! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
    inference(superposition,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.mUdrm2fV1v/Vampire---4.8_1702',distributivity1) ).

fof(f132,plain,
    ! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(X0,multiply(X0,X1)),
    inference(superposition,[],[f6,f11]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/tmp/tmp.mUdrm2fV1v/Vampire---4.8_1702',distributivity4) ).

fof(f204,plain,
    ! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
    inference(superposition,[],[f4,f183]) ).

fof(f183,plain,
    ! [X0] : add(X0,X0) = X0,
    inference(forward_demodulation,[],[f166,f14]) ).

fof(f14,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.mUdrm2fV1v/Vampire---4.8_1702',additive_id2) ).

fof(f166,plain,
    ! [X0] : add(additive_identity,X0) = add(X0,X0),
    inference(superposition,[],[f74,f10]) ).

fof(f10,axiom,
    ! [X0] : additive_identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.mUdrm2fV1v/Vampire---4.8_1702',multiplicative_inverse2) ).

fof(f4,axiom,
    ! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    file('/export/starexec/sandbox/tmp/tmp.mUdrm2fV1v/Vampire---4.8_1702',distributivity2) ).

fof(f15,axiom,
    a != multiply(a,add(a,b)),
    file('/export/starexec/sandbox/tmp/tmp.mUdrm2fV1v/Vampire---4.8_1702',prove_operation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : BOO009-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12  % 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
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 17:38:44 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.11/0.33  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.mUdrm2fV1v/Vampire---4.8_1702
% 0.62/0.80  % (1825)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)
% 0.62/0.80  % (1828)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)
% 0.62/0.80  % (1831)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)
% 0.62/0.80  % (1827)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (1829)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)
% 0.62/0.80  % (1830)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)
% 0.62/0.80  % (1826)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)
% 0.62/0.80  % (1829)Refutation not found, incomplete strategy% (1829)------------------------------
% 0.62/0.80  % (1829)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (1832)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)
% 0.62/0.80  % (1829)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (1829)Memory used [KB]: 974
% 0.62/0.80  % (1829)Time elapsed: 0.002 s
% 0.62/0.80  % (1829)Instructions burned: 2 (million)
% 0.62/0.80  % (1829)------------------------------
% 0.62/0.80  % (1829)------------------------------
% 0.62/0.80  % (1831)Refutation not found, incomplete strategy% (1831)------------------------------
% 0.62/0.80  % (1831)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (1831)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (1831)Memory used [KB]: 961
% 0.62/0.80  % (1831)Time elapsed: 0.002 s
% 0.62/0.80  % (1831)Instructions burned: 2 (million)
% 0.62/0.80  % (1831)------------------------------
% 0.62/0.80  % (1831)------------------------------
% 0.62/0.80  % (1830)Refutation not found, incomplete strategy% (1830)------------------------------
% 0.62/0.80  % (1830)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (1825)Refutation not found, incomplete strategy% (1825)------------------------------
% 0.62/0.80  % (1825)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (1825)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (1825)Memory used [KB]: 975
% 0.62/0.80  % (1825)Time elapsed: 0.003 s
% 0.62/0.80  % (1825)Instructions burned: 2 (million)
% 0.62/0.80  % (1825)------------------------------
% 0.62/0.80  % (1825)------------------------------
% 0.62/0.80  % (1830)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (1828)Refutation not found, incomplete strategy% (1828)------------------------------
% 0.62/0.80  % (1828)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (1828)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (1828)Memory used [KB]: 962
% 0.62/0.80  % (1828)Time elapsed: 0.003 s
% 0.62/0.80  % (1828)Instructions burned: 2 (million)
% 0.62/0.80  % (1828)------------------------------
% 0.62/0.80  % (1828)------------------------------
% 0.62/0.80  % (1830)Memory used [KB]: 961
% 0.62/0.80  % (1830)Time elapsed: 0.003 s
% 0.62/0.80  % (1830)Instructions burned: 2 (million)
% 0.62/0.80  % (1830)------------------------------
% 0.62/0.80  % (1830)------------------------------
% 0.62/0.80  % (1832)Refutation not found, incomplete strategy% (1832)------------------------------
% 0.62/0.80  % (1832)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (1832)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (1832)Memory used [KB]: 960
% 0.62/0.80  % (1832)Time elapsed: 0.002 s
% 0.62/0.80  % (1832)Instructions burned: 2 (million)
% 0.62/0.80  % (1832)------------------------------
% 0.62/0.80  % (1832)------------------------------
% 0.62/0.80  % (1833)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)
% 0.62/0.80  % (1835)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)
% 0.62/0.80  % (1836)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)
% 0.62/0.80  % (1834)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)
% 0.62/0.80  % (1837)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)
% 0.62/0.80  % (1838)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 (2995ds/42Mi)
% 0.62/0.80  % (1834)Refutation not found, incomplete strategy% (1834)------------------------------
% 0.62/0.80  % (1834)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (1834)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (1834)Memory used [KB]: 957
% 0.62/0.80  % (1834)Time elapsed: 0.002 s
% 0.62/0.80  % (1834)Instructions burned: 2 (million)
% 0.62/0.80  % (1834)------------------------------
% 0.62/0.80  % (1834)------------------------------
% 0.62/0.80  % (1838)Refutation not found, incomplete strategy% (1838)------------------------------
% 0.62/0.80  % (1838)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (1837)Refutation not found, incomplete strategy% (1837)------------------------------
% 0.62/0.80  % (1837)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (1837)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (1837)Memory used [KB]: 961
% 0.62/0.80  % (1837)Time elapsed: 0.002 s
% 0.62/0.80  % (1837)Instructions burned: 2 (million)
% 0.62/0.80  % (1837)------------------------------
% 0.62/0.80  % (1837)------------------------------
% 0.62/0.80  % (1838)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (1838)Memory used [KB]: 959
% 0.62/0.80  % (1838)Time elapsed: 0.002 s
% 0.62/0.80  % (1838)Instructions burned: 2 (million)
% 0.62/0.80  % (1838)------------------------------
% 0.62/0.80  % (1838)------------------------------
% 0.62/0.81  % (1840)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 (2995ds/117Mi)
% 0.62/0.81  % (1839)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 (2995ds/243Mi)
% 0.62/0.81  % (1841)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 (2995ds/143Mi)
% 0.62/0.81  % (1840)Refutation not found, incomplete strategy% (1840)------------------------------
% 0.62/0.81  % (1840)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (1840)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (1840)Memory used [KB]: 960
% 0.62/0.81  % (1840)Time elapsed: 0.002 s
% 0.62/0.81  % (1840)Instructions burned: 2 (million)
% 0.62/0.81  % (1840)------------------------------
% 0.62/0.81  % (1840)------------------------------
% 0.62/0.81  % (1841)Refutation not found, incomplete strategy% (1841)------------------------------
% 0.62/0.81  % (1841)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (1841)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (1841)Memory used [KB]: 978
% 0.62/0.81  % (1841)Time elapsed: 0.003 s
% 0.62/0.81  % (1841)Instructions burned: 3 (million)
% 0.62/0.81  % (1841)------------------------------
% 0.62/0.81  % (1841)------------------------------
% 0.62/0.81  % (1842)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 (2995ds/93Mi)
% 0.62/0.81  % (1844)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 (2995ds/62Mi)
% 0.62/0.81  % (1844)Refutation not found, incomplete strategy% (1844)------------------------------
% 0.62/0.81  % (1844)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (1844)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (1844)Memory used [KB]: 960
% 0.62/0.81  % (1844)Time elapsed: 0.002 s
% 0.62/0.81  % (1844)Instructions burned: 2 (million)
% 0.62/0.81  % (1844)------------------------------
% 0.62/0.81  % (1844)------------------------------
% 0.62/0.82  % (1845)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 (2995ds/32Mi)
% 0.62/0.82  % (1836)First to succeed.
% 0.62/0.82  % (1836)Refutation found. Thanks to Tanya!
% 0.62/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82  % (1836)------------------------------
% 0.62/0.82  % (1836)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (1836)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (1836)Memory used [KB]: 1238
% 0.62/0.82  % (1836)Time elapsed: 0.017 s
% 0.62/0.82  % (1836)Instructions burned: 33 (million)
% 0.62/0.82  % (1836)------------------------------
% 0.62/0.82  % (1836)------------------------------
% 0.62/0.82  % (1822)Success in time 0.484 s
% 0.62/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------