TSTP Solution File: CAT018-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : CAT018-4 : 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/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 : Mon May 20 19:00:38 EDT 2024

% Result   : Unsatisfiable 0.62s 0.77s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (  15 unt;   0 def)
%            Number of atoms       :   30 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f256,plain,
    $false,
    inference(unit_resulting_resolution,[],[f13,f34,f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ there_exists(compose(b,X0))
      | domain(a) = codomain(compose(b,X0)) ),
    inference(forward_demodulation,[],[f148,f44]) ).

fof(f44,plain,
    domain(a) = domain(domain(a)),
    inference(forward_demodulation,[],[f43,f16]) ).

fof(f16,plain,
    domain(a) = codomain(b),
    inference(unit_resulting_resolution,[],[f12,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).

fof(f12,axiom,
    there_exists(compose(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_ab_exists) ).

fof(f43,plain,
    codomain(b) = domain(domain(a)),
    inference(subsumption_resolution,[],[f39,f25]) ).

fof(f25,plain,
    there_exists(b),
    inference(unit_resulting_resolution,[],[f21,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ there_exists(domain(X0))
      | there_exists(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).

fof(f21,plain,
    there_exists(domain(b)),
    inference(unit_resulting_resolution,[],[f13,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(domain(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).

fof(f39,plain,
    ( ~ there_exists(b)
    | codomain(b) = domain(domain(a)) ),
    inference(superposition,[],[f7,f29]) ).

fof(f29,plain,
    b = compose(domain(a),b),
    inference(superposition,[],[f11,f16]) ).

fof(f11,axiom,
    ! [X0] : compose(codomain(X0),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).

fof(f148,plain,
    ! [X0] :
      ( ~ there_exists(compose(b,X0))
      | domain(domain(a)) = codomain(compose(b,X0)) ),
    inference(superposition,[],[f7,f41]) ).

fof(f41,plain,
    ! [X0] : compose(b,X0) = compose(domain(a),compose(b,X0)),
    inference(superposition,[],[f9,f29]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_compose) ).

fof(f34,plain,
    domain(a) != codomain(compose(b,c)),
    inference(unit_resulting_resolution,[],[f15,f14,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( there_exists(compose(X0,X1))
      | domain(X0) != codomain(X1)
      | ~ there_exists(domain(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition2) ).

fof(f14,axiom,
    ~ there_exists(compose(a,compose(b,c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_bc_exists) ).

fof(f15,plain,
    there_exists(domain(a)),
    inference(unit_resulting_resolution,[],[f12,f6]) ).

fof(f13,axiom,
    there_exists(compose(b,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_bc_exists) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : CAT018-4 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 11:32:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.37  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/benchmark/theBenchmark.p
% 0.60/0.76  % (5068)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 (2996ds/56Mi)
% 0.60/0.76  % (5064)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.60/0.76  % (5065)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 (2996ds/34Mi)
% 0.60/0.76  % (5063)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.76  % (5061)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 (2996ds/34Mi)
% 0.60/0.76  % (5062)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 (2996ds/51Mi)
% 0.60/0.76  % (5066)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.60/0.76  % (5067)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 (2996ds/83Mi)
% 0.60/0.76  % (5068)Refutation not found, incomplete strategy% (5068)------------------------------
% 0.60/0.76  % (5068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (5068)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (5068)Memory used [KB]: 965
% 0.60/0.76  % (5068)Time elapsed: 0.001 s
% 0.60/0.76  % (5068)Instructions burned: 2 (million)
% 0.60/0.76  % (5068)------------------------------
% 0.60/0.76  % (5068)------------------------------
% 0.60/0.76  % (5063)Refutation not found, incomplete strategy% (5063)------------------------------
% 0.60/0.76  % (5063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (5064)Refutation not found, incomplete strategy% (5064)------------------------------
% 0.60/0.76  % (5064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (5064)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (5064)Memory used [KB]: 965
% 0.60/0.76  % (5064)Time elapsed: 0.002 s
% 0.60/0.76  % (5064)Instructions burned: 2 (million)
% 0.60/0.76  % (5063)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (5063)Memory used [KB]: 965
% 0.60/0.76  % (5063)Time elapsed: 0.002 s
% 0.60/0.76  % (5063)Instructions burned: 2 (million)
% 0.60/0.76  % (5066)Refutation not found, incomplete strategy% (5066)------------------------------
% 0.60/0.76  % (5066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (5066)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (5066)Memory used [KB]: 965
% 0.60/0.76  % (5066)Time elapsed: 0.002 s
% 0.60/0.76  % (5066)Instructions burned: 2 (million)
% 0.60/0.76  % (5064)------------------------------
% 0.60/0.76  % (5064)------------------------------
% 0.60/0.76  % (5065)Refutation not found, incomplete strategy% (5065)------------------------------
% 0.60/0.76  % (5065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (5065)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  % (5063)------------------------------
% 0.60/0.76  % (5063)------------------------------
% 0.60/0.76  
% 0.60/0.76  % (5065)Memory used [KB]: 984
% 0.60/0.76  % (5065)Time elapsed: 0.003 s
% 0.60/0.76  % (5065)Instructions burned: 2 (million)
% 0.60/0.76  % (5066)------------------------------
% 0.60/0.76  % (5066)------------------------------
% 0.60/0.76  % (5061)Refutation not found, incomplete strategy% (5061)------------------------------
% 0.60/0.76  % (5061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (5061)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (5061)Memory used [KB]: 983
% 0.60/0.76  % (5061)Time elapsed: 0.003 s
% 0.60/0.76  % (5061)Instructions burned: 2 (million)
% 0.60/0.76  % (5065)------------------------------
% 0.60/0.76  % (5065)------------------------------
% 0.60/0.76  % (5061)------------------------------
% 0.60/0.76  % (5061)------------------------------
% 0.60/0.76  % (5071)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 (2996ds/55Mi)
% 0.62/0.76  % (5071)Refutation not found, incomplete strategy% (5071)------------------------------
% 0.62/0.76  % (5071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (5071)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (5071)Memory used [KB]: 965
% 0.62/0.76  % (5071)Time elapsed: 0.001 s
% 0.62/0.76  % (5071)Instructions burned: 2 (million)
% 0.62/0.76  % (5071)------------------------------
% 0.62/0.76  % (5071)------------------------------
% 0.62/0.76  % (5072)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 (2996ds/50Mi)
% 0.62/0.76  % (5073)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 (2996ds/208Mi)
% 0.62/0.76  % (5075)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 (2996ds/518Mi)
% 0.62/0.76  % (5074)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 (2996ds/52Mi)
% 0.62/0.76  % (5076)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 (2996ds/42Mi)
% 0.62/0.76  % (5077)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 (2996ds/243Mi)
% 0.62/0.76  % (5067)First to succeed.
% 0.62/0.77  % (5067)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4912"
% 0.62/0.77  % (5067)Refutation found. Thanks to Tanya!
% 0.62/0.77  % SZS status Unsatisfiable for theBenchmark
% 0.62/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.77  % (5067)------------------------------
% 0.62/0.77  % (5067)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77  % (5067)Termination reason: Refutation
% 0.62/0.77  
% 0.62/0.77  % (5067)Memory used [KB]: 1141
% 0.62/0.77  % (5067)Time elapsed: 0.010 s
% 0.62/0.77  % (5067)Instructions burned: 15 (million)
% 0.62/0.77  % (4912)Success in time 0.389 s
% 0.62/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------