TSTP Solution File: COL001-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL001-2 : 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 : n016.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 04:44:27 EDT 2024

% Result   : Unsatisfiable 0.58s 0.78s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 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    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f641,plain,
    $false,
    inference(equality_resolution,[],[f557]) ).

fof(f557,plain,
    ! [X0] : apply(X0,X0) != apply(apply(apply(s,apply(b,combinator)),i),X0),
    inference(superposition,[],[f6,f116]) ).

fof(f116,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(apply(s,apply(b,X0)),i),X1),
    inference(superposition,[],[f13,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.PVRmGA2rbJ/Vampire---4.8_6828',b_definition) ).

fof(f13,plain,
    ! [X0,X1] : apply(apply(apply(s,X1),i),X0) = apply(apply(X1,X0),X0),
    inference(superposition,[],[f1,f4]) ).

fof(f4,axiom,
    ! [X0] : apply(i,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.PVRmGA2rbJ/Vampire---4.8_6828',i_definition) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.PVRmGA2rbJ/Vampire---4.8_6828',s_definition) ).

fof(f6,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox2/tmp/tmp.PVRmGA2rbJ/Vampire---4.8_6828',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : COL001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 18:30:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35  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.PVRmGA2rbJ/Vampire---4.8_6828
% 0.58/0.76  % (7000)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)
% 0.58/0.76  % (7002)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.76  % (7003)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)
% 0.58/0.76  % (7001)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)
% 0.58/0.76  % (7005)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)
% 0.58/0.76  % (7004)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)
% 0.58/0.76  % (7007)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)
% 0.58/0.76  % (7006)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)
% 0.58/0.76  % (7000)Refutation not found, incomplete strategy% (7000)------------------------------
% 0.58/0.76  % (7000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (7000)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (7000)Memory used [KB]: 964
% 0.58/0.76  % (7000)Time elapsed: 0.002 s
% 0.58/0.76  % (7000)Instructions burned: 2 (million)
% 0.58/0.76  % (7003)Refutation not found, incomplete strategy% (7003)------------------------------
% 0.58/0.76  % (7003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (7003)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (7003)Memory used [KB]: 947
% 0.58/0.76  % (7003)Time elapsed: 0.002 s
% 0.58/0.76  % (7003)Instructions burned: 2 (million)
% 0.58/0.76  % (7005)Refutation not found, incomplete strategy% (7005)------------------------------
% 0.58/0.76  % (7005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (7005)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (7005)Memory used [KB]: 947
% 0.58/0.76  % (7005)Time elapsed: 0.002 s
% 0.58/0.76  % (7005)Instructions burned: 2 (million)
% 0.58/0.76  % (7007)Refutation not found, incomplete strategy% (7007)------------------------------
% 0.58/0.76  % (7007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (7007)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (7007)Memory used [KB]: 948
% 0.58/0.76  % (7007)Time elapsed: 0.002 s
% 0.58/0.76  % (7007)Instructions burned: 2 (million)
% 0.58/0.76  % (7000)------------------------------
% 0.58/0.76  % (7000)------------------------------
% 0.58/0.76  % (7004)Refutation not found, incomplete strategy% (7004)------------------------------
% 0.58/0.76  % (7004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (7006)Refutation not found, incomplete strategy% (7006)------------------------------
% 0.58/0.76  % (7006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (7006)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (7006)Memory used [KB]: 947
% 0.58/0.76  % (7006)Time elapsed: 0.002 s
% 0.58/0.76  % (7006)Instructions burned: 2 (million)
% 0.58/0.76  % (7005)------------------------------
% 0.58/0.76  % (7005)------------------------------
% 0.58/0.76  % (7004)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (7004)Memory used [KB]: 965
% 0.58/0.76  % (7004)Time elapsed: 0.002 s
% 0.58/0.76  % (7004)Instructions burned: 2 (million)
% 0.58/0.76  % (7007)------------------------------
% 0.58/0.76  % (7007)------------------------------
% 0.58/0.76  % (7003)------------------------------
% 0.58/0.76  % (7003)------------------------------
% 0.58/0.76  % (7006)------------------------------
% 0.58/0.76  % (7006)------------------------------
% 0.58/0.76  % (7004)------------------------------
% 0.58/0.76  % (7004)------------------------------
% 0.58/0.76  % (7008)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)
% 0.58/0.76  % (7010)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)
% 0.58/0.76  % (7009)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)
% 0.58/0.76  % (7012)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)
% 0.58/0.76  % (7011)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)
% 0.58/0.76  % (7010)Refutation not found, incomplete strategy% (7010)------------------------------
% 0.58/0.76  % (7010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (7010)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (7010)Memory used [KB]: 947
% 0.58/0.76  % (7010)Time elapsed: 0.002 s
% 0.58/0.76  % (7009)Refutation not found, incomplete strategy% (7009)------------------------------
% 0.58/0.76  % (7009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (7009)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (7009)Memory used [KB]: 951
% 0.58/0.76  % (7009)Time elapsed: 0.002 s
% 0.58/0.76  % (7009)Instructions burned: 2 (million)
% 0.58/0.76  % (7010)Instructions burned: 2 (million)
% 0.58/0.76  % (7009)------------------------------
% 0.58/0.76  % (7009)------------------------------
% 0.58/0.76  % (7010)------------------------------
% 0.58/0.76  % (7010)------------------------------
% 0.58/0.76  % (7012)Refutation not found, incomplete strategy% (7012)------------------------------
% 0.58/0.76  % (7012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (7012)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (7012)Memory used [KB]: 951
% 0.58/0.76  % (7012)Time elapsed: 0.002 s
% 0.58/0.76  % (7012)Instructions burned: 2 (million)
% 0.58/0.77  % (7012)------------------------------
% 0.58/0.77  % (7012)------------------------------
% 0.58/0.77  % (7013)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)
% 0.58/0.77  % (7013)Refutation not found, incomplete strategy% (7013)------------------------------
% 0.58/0.77  % (7013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (7013)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (7013)Memory used [KB]: 965
% 0.58/0.77  % (7013)Time elapsed: 0.002 s
% 0.58/0.77  % (7013)Instructions burned: 2 (million)
% 0.58/0.77  % (7013)------------------------------
% 0.58/0.77  % (7013)------------------------------
% 0.58/0.77  % (7015)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)
% 0.58/0.77  % (7016)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)
% 0.58/0.77  % (7015)Refutation not found, incomplete strategy% (7015)------------------------------
% 0.58/0.77  % (7015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (7015)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (7015)Memory used [KB]: 951
% 0.58/0.77  % (7015)Time elapsed: 0.002 s
% 0.58/0.77  % (7015)Instructions burned: 2 (million)
% 0.58/0.77  % (7015)------------------------------
% 0.58/0.77  % (7015)------------------------------
% 0.58/0.77  % (7016)Refutation not found, incomplete strategy% (7016)------------------------------
% 0.58/0.77  % (7016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (7016)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (7016)Memory used [KB]: 966
% 0.58/0.77  % (7016)Time elapsed: 0.002 s
% 0.58/0.77  % (7016)Instructions burned: 2 (million)
% 0.58/0.77  % (7017)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)
% 0.58/0.77  % (7016)------------------------------
% 0.58/0.77  % (7016)------------------------------
% 0.58/0.77  % (7014)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)
% 0.58/0.77  % (7014)Refutation not found, incomplete strategy% (7014)------------------------------
% 0.58/0.77  % (7014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (7014)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (7014)Memory used [KB]: 952
% 0.58/0.77  % (7014)Time elapsed: 0.002 s
% 0.58/0.77  % (7014)Instructions burned: 2 (million)
% 0.58/0.77  % (7014)------------------------------
% 0.58/0.77  % (7014)------------------------------
% 0.58/0.77  % (7019)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)
% 0.58/0.77  % (7020)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)
% 0.58/0.78  % (7018)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)
% 0.58/0.78  % (7018)Refutation not found, incomplete strategy% (7018)------------------------------
% 0.58/0.78  % (7018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (7018)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78  
% 0.58/0.78  % (7018)Memory used [KB]: 950
% 0.58/0.78  % (7018)Time elapsed: 0.002 s
% 0.58/0.78  % (7018)Instructions burned: 2 (million)
% 0.58/0.78  % (7018)------------------------------
% 0.58/0.78  % (7018)------------------------------
% 0.58/0.78  % (7008)Instruction limit reached!
% 0.58/0.78  % (7008)------------------------------
% 0.58/0.78  % (7008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (7008)Termination reason: Unknown
% 0.58/0.78  % (7008)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (7008)Memory used [KB]: 1540
% 0.58/0.78  % (7008)Time elapsed: 0.021 s
% 0.58/0.78  % (7008)Instructions burned: 55 (million)
% 0.58/0.78  % (7008)------------------------------
% 0.58/0.78  % (7008)------------------------------
% 0.58/0.78  % (7001)First to succeed.
% 0.58/0.78  % (7001)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6999"
% 0.58/0.78  % (7001)Refutation found. Thanks to Tanya!
% 0.58/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.78  % (7001)------------------------------
% 0.58/0.78  % (7001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (7001)Termination reason: Refutation
% 0.58/0.78  
% 0.58/0.78  % (7001)Memory used [KB]: 1364
% 0.58/0.78  % (7001)Time elapsed: 0.025 s
% 0.58/0.78  % (7001)Instructions burned: 48 (million)
% 0.58/0.78  % (6999)Success in time 0.425 s
% 0.58/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------