TSTP Solution File: BOO006-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO006-2 : TPTP v8.2.0. 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 : n017.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 : Mon May 20 18:57:37 EDT 2024

% Result   : Unsatisfiable 0.53s 0.74s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 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    :    3 (   1 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   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f151,plain,
    $false,
    inference(subsumption_resolution,[],[f140,f17]) ).

fof(f17,plain,
    additive_identity != sF0,
    inference(definition_folding,[],[f15,f16]) ).

fof(f16,plain,
    multiply(a,additive_identity) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f15,axiom,
    additive_identity != multiply(a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_identity) ).

fof(f140,plain,
    additive_identity = sF0,
    inference(superposition,[],[f130,f13]) ).

fof(f13,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id1) ).

fof(f130,plain,
    additive_identity = add(sF0,additive_identity),
    inference(superposition,[],[f118,f10]) ).

fof(f10,axiom,
    ! [X0] : additive_identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).

fof(f118,plain,
    ! [X0] : multiply(X0,a) = add(sF0,multiply(X0,a)),
    inference(forward_demodulation,[],[f93,f14]) ).

fof(f14,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id2) ).

fof(f93,plain,
    ! [X0] : multiply(add(additive_identity,X0),a) = add(sF0,multiply(X0,a)),
    inference(superposition,[],[f5,f26]) ).

fof(f26,plain,
    sF0 = multiply(additive_identity,a),
    inference(superposition,[],[f2,f16]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).

fof(f5,axiom,
    ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : BOO006-2 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.10  % 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
% 0.10/0.30  % Computer : n017.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sat May 18 14:29:52 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.10/0.31  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/benchmark/theBenchmark.p
% 0.53/0.73  % (3219)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.53/0.73  % (3218)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.53/0.73  % (3216)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 theBenchmark for (2995ds/34Mi)
% 0.53/0.73  % (3217)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 theBenchmark for (2995ds/51Mi)
% 0.53/0.73  % (3220)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 theBenchmark for (2995ds/34Mi)
% 0.53/0.73  % (3221)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.53/0.73  % (3223)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.53/0.73  % (3222)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 theBenchmark for (2995ds/83Mi)
% 0.53/0.73  % (3219)Refutation not found, incomplete strategy% (3219)------------------------------
% 0.53/0.73  % (3219)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (3219)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (3219)Memory used [KB]: 969
% 0.53/0.73  % (3219)Time elapsed: 0.002 s
% 0.53/0.73  % (3219)Instructions burned: 2 (million)
% 0.53/0.73  % (3223)Refutation not found, incomplete strategy% (3223)------------------------------
% 0.53/0.73  % (3223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (3223)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (3223)Memory used [KB]: 968
% 0.53/0.73  % (3223)Time elapsed: 0.002 s
% 0.53/0.73  % (3223)Instructions burned: 2 (million)
% 0.53/0.73  % (3216)Refutation not found, incomplete strategy% (3216)------------------------------
% 0.53/0.73  % (3216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (3216)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  % (3220)Refutation not found, incomplete strategy% (3220)------------------------------
% 0.53/0.73  % (3220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (3220)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (3220)Memory used [KB]: 983
% 0.53/0.73  % (3220)Time elapsed: 0.002 s
% 0.53/0.73  % (3220)Instructions burned: 2 (million)
% 0.53/0.73  
% 0.53/0.73  % (3216)Memory used [KB]: 983
% 0.53/0.73  % (3216)Time elapsed: 0.003 s
% 0.53/0.73  % (3216)Instructions burned: 2 (million)
% 0.53/0.73  % (3221)Refutation not found, incomplete strategy% (3221)------------------------------
% 0.53/0.73  % (3221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (3223)------------------------------
% 0.53/0.73  % (3223)------------------------------
% 0.53/0.73  % (3219)------------------------------
% 0.53/0.73  % (3219)------------------------------
% 0.53/0.73  % (3221)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (3221)Memory used [KB]: 968
% 0.53/0.73  % (3221)Time elapsed: 0.002 s
% 0.53/0.73  % (3221)Instructions burned: 2 (million)
% 0.53/0.73  % (3220)------------------------------
% 0.53/0.73  % (3220)------------------------------
% 0.53/0.73  % (3216)------------------------------
% 0.53/0.73  % (3216)------------------------------
% 0.53/0.73  % (3222)Refutation not found, incomplete strategy% (3222)------------------------------
% 0.53/0.73  % (3222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (3222)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (3222)Memory used [KB]: 969
% 0.53/0.73  % (3222)Time elapsed: 0.003 s
% 0.53/0.73  % (3222)Instructions burned: 2 (million)
% 0.53/0.73  % (3221)------------------------------
% 0.53/0.73  % (3221)------------------------------
% 0.53/0.73  % (3222)------------------------------
% 0.53/0.73  % (3222)------------------------------
% 0.53/0.74  % (3224)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 theBenchmark for (2995ds/55Mi)
% 0.53/0.74  % (3226)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.53/0.74  % (3228)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 theBenchmark for (2995ds/518Mi)
% 0.53/0.74  % (3225)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 theBenchmark for (2995ds/50Mi)
% 0.53/0.74  % (3227)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 theBenchmark for (2995ds/52Mi)
% 0.53/0.74  % (3229)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 theBenchmark for (2995ds/42Mi)
% 0.53/0.74  % (3224)Refutation not found, incomplete strategy% (3224)------------------------------
% 0.53/0.74  % (3224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3224)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3224)Memory used [KB]: 970
% 0.53/0.74  % (3224)Time elapsed: 0.002 s
% 0.53/0.74  % (3224)Instructions burned: 2 (million)
% 0.53/0.74  % (3224)------------------------------
% 0.53/0.74  % (3224)------------------------------
% 0.53/0.74  % (3225)Refutation not found, incomplete strategy% (3225)------------------------------
% 0.53/0.74  % (3225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3225)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3225)Memory used [KB]: 965
% 0.53/0.74  % (3225)Time elapsed: 0.002 s
% 0.53/0.74  % (3225)Instructions burned: 2 (million)
% 0.53/0.74  % (3225)------------------------------
% 0.53/0.74  % (3225)------------------------------
% 0.53/0.74  % (3229)Refutation not found, incomplete strategy% (3229)------------------------------
% 0.53/0.74  % (3229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3229)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3229)Memory used [KB]: 967
% 0.53/0.74  % (3229)Time elapsed: 0.002 s
% 0.53/0.74  % (3229)Instructions burned: 2 (million)
% 0.53/0.74  % (3229)------------------------------
% 0.53/0.74  % (3229)------------------------------
% 0.53/0.74  % (3230)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 theBenchmark for (2995ds/243Mi)
% 0.53/0.74  % (3231)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.53/0.74  % (3232)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 theBenchmark for (2995ds/143Mi)
% 0.53/0.74  % (3226)First to succeed.
% 0.53/0.74  % (3231)Refutation not found, incomplete strategy% (3231)------------------------------
% 0.53/0.74  % (3231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3231)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3231)Memory used [KB]: 969
% 0.53/0.74  % (3231)Time elapsed: 0.002 s
% 0.53/0.74  % (3231)Instructions burned: 2 (million)
% 0.53/0.74  % (3231)------------------------------
% 0.53/0.74  % (3231)------------------------------
% 0.53/0.74  % (3226)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3215"
% 0.53/0.74  % (3232)Refutation not found, incomplete strategy% (3232)------------------------------
% 0.53/0.74  % (3232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3232)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3232)Memory used [KB]: 986
% 0.53/0.74  % (3232)Time elapsed: 0.003 s
% 0.53/0.74  % (3232)Instructions burned: 3 (million)
% 0.53/0.74  % (3226)Refutation found. Thanks to Tanya!
% 0.53/0.74  % SZS status Unsatisfiable for theBenchmark
% 0.53/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.74  % (3226)------------------------------
% 0.53/0.74  % (3226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3226)Termination reason: Refutation
% 0.53/0.74  
% 0.53/0.74  % (3226)Memory used [KB]: 1077
% 0.53/0.74  % (3226)Time elapsed: 0.007 s
% 0.53/0.74  % (3226)Instructions burned: 11 (million)
% 0.53/0.74  % (3215)Success in time 0.428 s
% 0.53/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------