TSTP Solution File: BOO012-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO012-2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 04:41:46 EDT 2024

% Result   : Unsatisfiable 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f665,plain,
    $false,
    inference(trivial_inequality_removal,[],[f645]) ).

fof(f645,plain,
    x != x,
    inference(superposition,[],[f15,f626]) ).

fof(f626,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f625,f126]) ).

fof(f126,plain,
    ! [X0] : add(X0,inverse(inverse(X0))) = X0,
    inference(superposition,[],[f95,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.MU1ZUq1Rmu/Vampire---4.8_24435',commutativity_of_add) ).

fof(f95,plain,
    ! [X0] : add(inverse(inverse(X0)),X0) = X0,
    inference(forward_demodulation,[],[f82,f14]) ).

fof(f14,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.MU1ZUq1Rmu/Vampire---4.8_24435',additive_id2) ).

fof(f82,plain,
    ! [X0] : add(additive_identity,X0) = add(inverse(inverse(X0)),X0),
    inference(superposition,[],[f74,f9]) ).

fof(f9,axiom,
    ! [X0] : multiply(X0,inverse(X0)) = additive_identity,
    file('/export/starexec/sandbox2/tmp/tmp.MU1ZUq1Rmu/Vampire---4.8_24435',multiplicative_inverse1) ).

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/sandbox2/tmp/tmp.MU1ZUq1Rmu/Vampire---4.8_24435',multiplicative_id2) ).

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

fof(f8,axiom,
    ! [X0] : multiplicative_identity = add(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.MU1ZUq1Rmu/Vampire---4.8_24435',additive_inverse2) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.MU1ZUq1Rmu/Vampire---4.8_24435',distributivity1) ).

fof(f625,plain,
    ! [X0] : inverse(inverse(X0)) = add(X0,inverse(inverse(X0))),
    inference(forward_demodulation,[],[f602,f14]) ).

fof(f602,plain,
    ! [X0] : add(X0,inverse(inverse(X0))) = add(additive_identity,inverse(inverse(X0))),
    inference(superposition,[],[f73,f10]) ).

fof(f10,axiom,
    ! [X0] : additive_identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.MU1ZUq1Rmu/Vampire---4.8_24435',multiplicative_inverse2) ).

fof(f73,plain,
    ! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = add(X1,inverse(X0)),
    inference(forward_demodulation,[],[f57,f12]) ).

fof(f57,plain,
    ! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
    inference(superposition,[],[f3,f7]) ).

fof(f7,axiom,
    ! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
    file('/export/starexec/sandbox2/tmp/tmp.MU1ZUq1Rmu/Vampire---4.8_24435',additive_inverse1) ).

fof(f15,axiom,
    x != inverse(inverse(x)),
    file('/export/starexec/sandbox2/tmp/tmp.MU1ZUq1Rmu/Vampire---4.8_24435',prove_inverse_is_an_involution) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : BOO012-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 18:45:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  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.MU1ZUq1Rmu/Vampire---4.8_24435
% 0.60/0.77  % (24683)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)
% 0.60/0.77  % (24687)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)
% 0.60/0.77  % (24683)Refutation not found, incomplete strategy% (24683)------------------------------
% 0.60/0.77  % (24683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (24683)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (24683)Memory used [KB]: 958
% 0.60/0.77  % (24683)Time elapsed: 0.003 s
% 0.60/0.77  % (24683)Instructions burned: 2 (million)
% 0.60/0.77  % (24687)Refutation not found, incomplete strategy% (24687)------------------------------
% 0.60/0.77  % (24687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (24687)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (24687)Memory used [KB]: 959
% 0.60/0.77  % (24687)Time elapsed: 0.003 s
% 0.60/0.77  % (24687)Instructions burned: 2 (million)
% 0.60/0.77  % (24683)------------------------------
% 0.60/0.77  % (24683)------------------------------
% 0.60/0.77  % (24687)------------------------------
% 0.60/0.77  % (24687)------------------------------
% 0.60/0.77  % (24682)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.77  % (24681)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)
% 0.60/0.77  % (24684)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)
% 0.60/0.77  % (24685)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)
% 0.60/0.77  % (24686)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)
% 0.60/0.77  % (24680)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)
% 0.60/0.77  % (24685)Refutation not found, incomplete strategy% (24685)------------------------------
% 0.60/0.77  % (24685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (24685)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (24685)Memory used [KB]: 957
% 0.60/0.78  % (24685)Time elapsed: 0.004 s
% 0.60/0.78  % (24685)Instructions burned: 2 (million)
% 0.60/0.78  % (24684)Refutation not found, incomplete strategy% (24684)------------------------------
% 0.60/0.78  % (24684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (24684)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (24684)Memory used [KB]: 975
% 0.60/0.78  % (24684)Time elapsed: 0.005 s
% 0.60/0.78  % (24684)Instructions burned: 2 (million)
% 0.60/0.78  % (24685)------------------------------
% 0.60/0.78  % (24685)------------------------------
% 0.60/0.78  % (24686)Refutation not found, incomplete strategy% (24686)------------------------------
% 0.60/0.78  % (24686)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (24686)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (24686)Memory used [KB]: 959
% 0.60/0.78  % (24686)Time elapsed: 0.005 s
% 0.60/0.78  % (24684)------------------------------
% 0.60/0.78  % (24684)------------------------------
% 0.60/0.78  % (24686)Instructions burned: 2 (million)
% 0.60/0.78  % (24680)Refutation not found, incomplete strategy% (24680)------------------------------
% 0.60/0.78  % (24680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (24680)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  % (24686)------------------------------
% 0.60/0.78  % (24686)------------------------------
% 0.60/0.78  
% 0.60/0.78  % (24680)Memory used [KB]: 975
% 0.60/0.78  % (24680)Time elapsed: 0.004 s
% 0.60/0.78  % (24680)Instructions burned: 2 (million)
% 0.60/0.78  % (24689)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)
% 0.60/0.78  % (24690)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)
% 0.60/0.78  % (24680)------------------------------
% 0.60/0.78  % (24680)------------------------------
% 0.60/0.78  % (24689)Refutation not found, incomplete strategy% (24689)------------------------------
% 0.60/0.78  % (24689)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (24689)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (24689)Memory used [KB]: 956
% 0.60/0.78  % (24689)Time elapsed: 0.002 s
% 0.60/0.78  % (24689)Instructions burned: 2 (million)
% 0.60/0.78  % (24689)------------------------------
% 0.60/0.78  % (24689)------------------------------
% 0.60/0.78  % (24690)Refutation not found, incomplete strategy% (24690)------------------------------
% 0.60/0.78  % (24690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (24690)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (24690)Memory used [KB]: 958
% 0.60/0.78  % (24690)Time elapsed: 0.003 s
% 0.60/0.78  % (24690)Instructions burned: 2 (million)
% 0.60/0.78  % (24690)------------------------------
% 0.60/0.78  % (24690)------------------------------
% 0.60/0.78  % (24697)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)
% 0.60/0.78  % (24691)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)
% 0.60/0.78  % (24698)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)
% 0.60/0.78  % (24692)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)
% 0.60/0.78  % (24698)Refutation not found, incomplete strategy% (24698)------------------------------
% 0.60/0.78  % (24698)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (24698)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (24698)Memory used [KB]: 959
% 0.60/0.78  % (24698)Time elapsed: 0.002 s
% 0.60/0.78  % (24698)Instructions burned: 2 (million)
% 0.60/0.78  % (24694)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)
% 0.60/0.78  % (24698)------------------------------
% 0.60/0.78  % (24698)------------------------------
% 0.60/0.78  % (24696)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)
% 0.60/0.78  % (24694)Refutation not found, incomplete strategy% (24694)------------------------------
% 0.60/0.78  % (24694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (24694)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (24694)Memory used [KB]: 959
% 0.60/0.78  % (24694)Time elapsed: 0.005 s
% 0.60/0.78  % (24694)Instructions burned: 2 (million)
% 0.60/0.78  % (24696)Refutation not found, incomplete strategy% (24696)------------------------------
% 0.60/0.78  % (24696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (24696)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (24696)Memory used [KB]: 959
% 0.60/0.78  % (24694)------------------------------
% 0.60/0.78  % (24694)------------------------------
% 0.60/0.79  % (24696)Time elapsed: 0.005 s
% 0.60/0.79  % (24696)Instructions burned: 2 (million)
% 0.60/0.79  % (24696)------------------------------
% 0.60/0.79  % (24696)------------------------------
% 0.60/0.79  % (24700)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)
% 0.60/0.79  % (24700)Refutation not found, incomplete strategy% (24700)------------------------------
% 0.60/0.79  % (24700)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (24700)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (24700)Memory used [KB]: 978
% 0.60/0.79  % (24700)Time elapsed: 0.003 s
% 0.60/0.79  % (24700)Instructions burned: 3 (million)
% 0.60/0.79  % (24700)------------------------------
% 0.60/0.79  % (24700)------------------------------
% 0.60/0.79  % (24703)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)
% 0.60/0.79  % (24705)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)
% 0.60/0.79  % (24707)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)
% 0.60/0.79  % (24705)Refutation not found, incomplete strategy% (24705)------------------------------
% 0.60/0.79  % (24705)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (24705)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (24705)Memory used [KB]: 961
% 0.60/0.79  % (24705)Time elapsed: 0.004 s
% 0.60/0.79  % (24705)Instructions burned: 2 (million)
% 0.60/0.79  % (24705)------------------------------
% 0.60/0.79  % (24705)------------------------------
% 0.60/0.80  % (24681)First to succeed.
% 0.60/0.80  % (24709)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.60/0.80  % (24681)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24624"
% 0.60/0.80  % (24681)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (24681)------------------------------
% 0.60/0.80  % (24681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (24681)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (24681)Memory used [KB]: 1157
% 0.60/0.80  % (24681)Time elapsed: 0.029 s
% 0.60/0.80  % (24681)Instructions burned: 27 (million)
% 0.60/0.80  % (24624)Success in time 0.434 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------