TSTP Solution File: BOO010-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO010-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n020.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 04:41:45 EDT 2024

% Result   : Unsatisfiable 0.60s 0.84s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f139,plain,
    $false,
    inference(trivial_inequality_removal,[],[f138]) ).

fof(f138,plain,
    a != a,
    inference(superposition,[],[f9,f102]) ).

fof(f102,plain,
    ! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
    inference(forward_demodulation,[],[f101,f6]) ).

fof(f6,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.EqQzzyvt3R/Vampire---4.8_22914',multiplicative_id1) ).

fof(f101,plain,
    ! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
    inference(backward_demodulation,[],[f50,f94]) ).

fof(f94,plain,
    ! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
    inference(superposition,[],[f84,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.EqQzzyvt3R/Vampire---4.8_22914',commutativity_of_add) ).

fof(f84,plain,
    ! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
    inference(forward_demodulation,[],[f76,f7]) ).

fof(f7,axiom,
    ! [X0] : multiplicative_identity = add(X0,inverse(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.EqQzzyvt3R/Vampire---4.8_22914',additive_inverse1) ).

fof(f76,plain,
    ! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
    inference(superposition,[],[f40,f6]) ).

fof(f40,plain,
    ! [X0,X1] : add(X0,X1) = add(X0,multiply(inverse(X0),X1)),
    inference(forward_demodulation,[],[f27,f20]) ).

fof(f20,plain,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    inference(superposition,[],[f2,f6]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.EqQzzyvt3R/Vampire---4.8_22914',commutativity_of_multiply) ).

fof(f27,plain,
    ! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
    inference(superposition,[],[f3,f7]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.EqQzzyvt3R/Vampire---4.8_22914',distributivity1) ).

fof(f50,plain,
    ! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(X0,multiply(X0,X1)),
    inference(superposition,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.EqQzzyvt3R/Vampire---4.8_22914',distributivity2) ).

fof(f9,axiom,
    a != add(a,multiply(a,b)),
    file('/export/starexec/sandbox2/tmp/tmp.EqQzzyvt3R/Vampire---4.8_22914',prove_a_plus_ab_is_a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : BOO010-4 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.14  % 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 : n020.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 18:48:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35  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.EqQzzyvt3R/Vampire---4.8_22914
% 0.60/0.83  % (23134)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)
% 0.60/0.83  % (23129)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)
% 0.60/0.83  % (23130)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)
% 0.60/0.83  % (23131)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.83  % (23132)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)
% 0.60/0.83  % (23133)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)
% 0.60/0.83  % (23135)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)
% 0.60/0.83  % (23136)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)
% 0.60/0.83  % (23133)Refutation not found, incomplete strategy% (23133)------------------------------
% 0.60/0.83  % (23133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (23134)Refutation not found, incomplete strategy% (23134)------------------------------
% 0.60/0.83  % (23134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (23134)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (23134)Memory used [KB]: 959
% 0.60/0.83  % (23134)Time elapsed: 0.002 s
% 0.60/0.83  % (23134)Instructions burned: 2 (million)
% 0.60/0.83  % (23133)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (23133)Memory used [KB]: 972
% 0.60/0.83  % (23133)Time elapsed: 0.003 s
% 0.60/0.83  % (23129)Refutation not found, incomplete strategy% (23129)------------------------------
% 0.60/0.83  % (23129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (23129)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (23129)Memory used [KB]: 973
% 0.60/0.83  % (23129)Time elapsed: 0.003 s
% 0.60/0.83  % (23129)Instructions burned: 2 (million)
% 0.60/0.83  % (23136)Refutation not found, incomplete strategy% (23136)------------------------------
% 0.60/0.83  % (23136)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (23136)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (23136)Memory used [KB]: 957
% 0.60/0.83  % (23136)Time elapsed: 0.002 s
% 0.60/0.83  % (23136)Instructions burned: 2 (million)
% 0.60/0.83  % (23135)Refutation not found, incomplete strategy% (23135)------------------------------
% 0.60/0.83  % (23135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (23135)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (23135)Memory used [KB]: 959
% 0.60/0.83  % (23135)Time elapsed: 0.003 s
% 0.60/0.83  % (23135)Instructions burned: 2 (million)
% 0.60/0.83  % (23132)Refutation not found, incomplete strategy% (23132)------------------------------
% 0.60/0.83  % (23132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (23132)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (23132)Memory used [KB]: 960
% 0.60/0.83  % (23132)Time elapsed: 0.003 s
% 0.60/0.83  % (23132)Instructions burned: 2 (million)
% 0.60/0.83  % (23133)Instructions burned: 2 (million)
% 0.60/0.83  % (23134)------------------------------
% 0.60/0.83  % (23134)------------------------------
% 0.60/0.83  % (23129)------------------------------
% 0.60/0.83  % (23129)------------------------------
% 0.60/0.83  % (23135)------------------------------
% 0.60/0.83  % (23135)------------------------------
% 0.60/0.83  % (23136)------------------------------
% 0.60/0.83  % (23136)------------------------------
% 0.60/0.83  % (23132)------------------------------
% 0.60/0.83  % (23132)------------------------------
% 0.60/0.83  % (23133)------------------------------
% 0.60/0.83  % (23133)------------------------------
% 0.60/0.84  % (23141)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)
% 0.60/0.84  % (23139)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)
% 0.60/0.84  % (23140)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)
% 0.60/0.84  % (23142)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)
% 0.60/0.84  % (23143)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)
% 0.60/0.84  % (23144)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)
% 0.60/0.84  % (23131)First to succeed.
% 0.60/0.84  % (23140)Refutation not found, incomplete strategy% (23140)------------------------------
% 0.60/0.84  % (23140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (23140)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84  
% 0.60/0.84  % (23140)Memory used [KB]: 956
% 0.60/0.84  % (23140)Time elapsed: 0.002 s
% 0.60/0.84  % (23140)Instructions burned: 2 (million)
% 0.60/0.84  % (23131)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23062"
% 0.60/0.84  % (23143)Refutation not found, incomplete strategy% (23143)------------------------------
% 0.60/0.84  % (23143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (23143)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84  
% 0.60/0.84  % (23143)Memory used [KB]: 959
% 0.60/0.84  % (23143)Time elapsed: 0.002 s
% 0.60/0.84  % (23143)Instructions burned: 2 (million)
% 0.60/0.84  % (23140)------------------------------
% 0.60/0.84  % (23140)------------------------------
% 0.60/0.84  % (23144)Refutation not found, incomplete strategy% (23144)------------------------------
% 0.60/0.84  % (23144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (23144)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84  
% 0.60/0.84  % (23144)Memory used [KB]: 957
% 0.60/0.84  % (23144)Time elapsed: 0.002 s
% 0.60/0.84  % (23144)Instructions burned: 2 (million)
% 0.60/0.84  % (23143)------------------------------
% 0.60/0.84  % (23143)------------------------------
% 0.60/0.84  % (23144)------------------------------
% 0.60/0.84  % (23144)------------------------------
% 0.60/0.84  % (23131)Refutation found. Thanks to Tanya!
% 0.60/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.84  % (23131)------------------------------
% 0.60/0.84  % (23131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (23131)Termination reason: Refutation
% 0.60/0.84  
% 0.60/0.84  % (23131)Memory used [KB]: 1065
% 0.60/0.84  % (23131)Time elapsed: 0.008 s
% 0.60/0.84  % (23131)Instructions burned: 10 (million)
% 0.60/0.84  % (23062)Success in time 0.485 s
% 0.60/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------