TSTP Solution File: GRP173-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP173-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% 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 : n003.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 21:07:14 EDT 2024

% Result   : Unsatisfiable 0.71s 0.77s
% Output   : Refutation 0.71s
% 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 :    1 (   1   ~;   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    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1082,plain,
    $false,
    inference(subsumption_resolution,[],[f1081,f18]) ).

fof(f18,axiom,
    identity != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p05a) ).

fof(f1081,plain,
    identity = a,
    inference(forward_demodulation,[],[f1080,f16]) ).

fof(f16,axiom,
    identity = least_upper_bound(identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p05a_1) ).

fof(f1080,plain,
    a = least_upper_bound(identity,a),
    inference(forward_demodulation,[],[f1060,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f1060,plain,
    multiply(identity,a) = least_upper_bound(identity,multiply(identity,a)),
    inference(superposition,[],[f72,f447]) ).

fof(f447,plain,
    identity = least_upper_bound(inverse(a),identity),
    inference(forward_demodulation,[],[f446,f8]) ).

fof(f8,axiom,
    ! [X0] : least_upper_bound(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_lub) ).

fof(f446,plain,
    least_upper_bound(inverse(a),identity) = least_upper_bound(identity,identity),
    inference(forward_demodulation,[],[f368,f202]) ).

fof(f202,plain,
    ! [X0] : least_upper_bound(identity,X0) = least_upper_bound(inverse(a),least_upper_bound(identity,X0)),
    inference(superposition,[],[f30,f17]) ).

fof(f17,axiom,
    identity = least_upper_bound(identity,inverse(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p05a_2) ).

fof(f30,plain,
    ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X1,X0),X2),
    inference(superposition,[],[f7,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f7,axiom,
    ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_lub) ).

fof(f368,plain,
    least_upper_bound(inverse(a),identity) = least_upper_bound(inverse(a),least_upper_bound(identity,identity)),
    inference(superposition,[],[f34,f28]) ).

fof(f28,plain,
    ! [X0] : least_upper_bound(identity,X0) = least_upper_bound(identity,least_upper_bound(inverse(a),X0)),
    inference(superposition,[],[f7,f17]) ).

fof(f34,plain,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X1))),
    inference(superposition,[],[f7,f8]) ).

fof(f72,plain,
    ! [X0,X1] : multiply(least_upper_bound(inverse(X0),X1),X0) = least_upper_bound(identity,multiply(X1,X0)),
    inference(superposition,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f14,axiom,
    ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP173-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% 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
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 05:01:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.54/0.72  % (28025)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)
% 0.54/0.72  % (28019)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)
% 0.54/0.72  % (28020)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)
% 0.54/0.72  % (28021)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.72  % (28022)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)
% 0.54/0.73  % (28022)Refutation not found, incomplete strategy% (28022)------------------------------
% 0.54/0.73  % (28022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (28022)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (28022)Memory used [KB]: 986
% 0.54/0.73  % (28022)Time elapsed: 0.002 s
% 0.54/0.73  % (28022)Instructions burned: 2 (million)
% 0.54/0.73  % (28019)Refutation not found, incomplete strategy% (28019)------------------------------
% 0.54/0.73  % (28019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (28019)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (28019)Memory used [KB]: 1002
% 0.54/0.73  % (28019)Time elapsed: 0.003 s
% 0.54/0.73  % (28019)Instructions burned: 3 (million)
% 0.54/0.73  % (28022)------------------------------
% 0.54/0.73  % (28022)------------------------------
% 0.54/0.73  % (28019)------------------------------
% 0.54/0.73  % (28019)------------------------------
% 0.54/0.73  % (28024)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)
% 0.54/0.73  % (28026)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)
% 0.54/0.73  % (28026)Refutation not found, incomplete strategy% (28026)------------------------------
% 0.54/0.73  % (28026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (28026)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (28026)Memory used [KB]: 986
% 0.54/0.73  % (28026)Time elapsed: 0.002 s
% 0.54/0.73  % (28026)Instructions burned: 2 (million)
% 0.54/0.73  % (28026)------------------------------
% 0.54/0.73  % (28026)------------------------------
% 0.54/0.73  % (28027)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)
% 0.54/0.73  % (28023)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)
% 0.54/0.73  % (28023)Refutation not found, incomplete strategy% (28023)------------------------------
% 0.54/0.73  % (28023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (28023)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (28023)Memory used [KB]: 1001
% 0.54/0.73  % (28023)Time elapsed: 0.002 s
% 0.54/0.73  % (28023)Instructions burned: 2 (million)
% 0.54/0.73  % (28023)------------------------------
% 0.54/0.73  % (28023)------------------------------
% 0.54/0.73  % (28028)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)
% 0.54/0.73  % (28028)Refutation not found, incomplete strategy% (28028)------------------------------
% 0.54/0.73  % (28028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (28028)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (28028)Memory used [KB]: 984
% 0.54/0.73  % (28028)Time elapsed: 0.002 s
% 0.54/0.73  % (28028)Instructions burned: 2 (million)
% 0.54/0.73  % (28028)------------------------------
% 0.54/0.73  % (28028)------------------------------
% 0.54/0.74  % (28030)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)
% 0.54/0.74  % (28029)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)
% 0.54/0.75  % (28025)Instruction limit reached!
% 0.54/0.75  % (28025)------------------------------
% 0.54/0.75  % (28025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (28025)Termination reason: Unknown
% 0.54/0.75  % (28025)Termination phase: Saturation
% 0.54/0.75  
% 0.54/0.75  % (28025)Memory used [KB]: 1527
% 0.54/0.75  % (28025)Time elapsed: 0.026 s
% 0.54/0.75  % (28025)Instructions burned: 86 (million)
% 0.54/0.75  % (28025)------------------------------
% 0.54/0.75  % (28025)------------------------------
% 0.54/0.75  % (28032)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)
% 0.54/0.75  % (28032)Refutation not found, incomplete strategy% (28032)------------------------------
% 0.54/0.75  % (28032)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (28032)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (28032)Memory used [KB]: 997
% 0.54/0.75  % (28032)Time elapsed: 0.001 s
% 0.54/0.75  % (28032)Instructions burned: 2 (million)
% 0.54/0.75  % (28032)------------------------------
% 0.54/0.75  % (28032)------------------------------
% 0.54/0.75  % (28020)Instruction limit reached!
% 0.54/0.75  % (28020)------------------------------
% 0.54/0.75  % (28020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (28020)Termination reason: Unknown
% 0.54/0.75  % (28020)Termination phase: Saturation
% 0.54/0.75  
% 0.54/0.75  % (28020)Memory used [KB]: 1461
% 0.54/0.75  % (28020)Time elapsed: 0.029 s
% 0.54/0.75  % (28020)Instructions burned: 51 (million)
% 0.54/0.75  % (28020)------------------------------
% 0.54/0.75  % (28020)------------------------------
% 0.54/0.75  % (28031)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)
% 0.54/0.75  % (28033)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)
% 0.54/0.76  % (28034)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 (2996ds/117Mi)
% 0.54/0.76  % (28034)Refutation not found, incomplete strategy% (28034)------------------------------
% 0.54/0.76  % (28034)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (28034)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (28034)Memory used [KB]: 986
% 0.54/0.76  % (28034)Time elapsed: 0.003 s
% 0.54/0.76  % (28034)Instructions burned: 2 (million)
% 0.54/0.76  % (28034)------------------------------
% 0.54/0.76  % (28034)------------------------------
% 0.54/0.76  % (28024)Instruction limit reached!
% 0.54/0.76  % (28024)------------------------------
% 0.54/0.76  % (28024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (28024)Termination reason: Unknown
% 0.54/0.76  % (28024)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (28024)Memory used [KB]: 1342
% 0.54/0.76  % (28024)Time elapsed: 0.022 s
% 0.54/0.76  % (28024)Instructions burned: 45 (million)
% 0.54/0.76  % (28024)------------------------------
% 0.54/0.76  % (28024)------------------------------
% 0.54/0.76  % (28027)Instruction limit reached!
% 0.54/0.76  % (28027)------------------------------
% 0.54/0.76  % (28027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (28027)Termination reason: Unknown
% 0.54/0.76  % (28027)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (28027)Memory used [KB]: 1391
% 0.54/0.76  % (28027)Time elapsed: 0.031 s
% 0.54/0.76  % (28027)Instructions burned: 55 (million)
% 0.54/0.76  % (28027)------------------------------
% 0.54/0.76  % (28027)------------------------------
% 0.54/0.76  % (28036)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 theBenchmark for (2995ds/93Mi)
% 0.54/0.76  % (28035)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)
% 0.71/0.77  % (28035)Refutation not found, incomplete strategy% (28035)------------------------------
% 0.71/0.77  % (28035)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77  % (28035)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.77  
% 0.71/0.77  % (28035)Memory used [KB]: 1005
% 0.71/0.77  % (28035)Time elapsed: 0.003 s
% 0.71/0.77  % (28035)Instructions burned: 4 (million)
% 0.71/0.77  % (28035)------------------------------
% 0.71/0.77  % (28035)------------------------------
% 0.71/0.77  % (28029)First to succeed.
% 0.71/0.77  % (28038)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 theBenchmark for (2995ds/32Mi)
% 0.71/0.77  % (28029)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28018"
% 0.71/0.77  % (28029)Refutation found. Thanks to Tanya!
% 0.71/0.77  % SZS status Unsatisfiable for theBenchmark
% 0.71/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.77  % (28029)------------------------------
% 0.71/0.77  % (28029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77  % (28029)Termination reason: Refutation
% 0.71/0.77  
% 0.71/0.77  % (28029)Memory used [KB]: 1420
% 0.71/0.77  % (28029)Time elapsed: 0.035 s
% 0.71/0.77  % (28029)Instructions burned: 70 (million)
% 0.71/0.77  % (28018)Success in time 0.413 s
% 0.71/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------