TSTP Solution File: GRP186-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP186-4 : TPTP v8.1.2. 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/sandbox/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 : Wed May  1 02:27:59 EDT 2024

% Result   : Unsatisfiable 0.61s 0.84s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   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   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f170,plain,
    $false,
    inference(subsumption_resolution,[],[f157,f21]) ).

fof(f21,plain,
    sP0(multiply(a,least_upper_bound(inverse(a),b))),
    inference(inequality_splitting,[],[f19,f20]) ).

fof(f20,plain,
    ~ sP0(least_upper_bound(multiply(a,b),identity)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f19,axiom,
    least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
    file('/export/starexec/sandbox/tmp/tmp.0IYrQRiIBG/Vampire---4.8_17957',prove_p23x) ).

fof(f157,plain,
    ~ sP0(multiply(a,least_upper_bound(inverse(a),b))),
    inference(superposition,[],[f31,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/tmp/tmp.0IYrQRiIBG/Vampire---4.8_17957',monotony_lub1) ).

fof(f31,plain,
    ! [X0] : ~ sP0(least_upper_bound(multiply(X0,inverse(X0)),multiply(a,b))),
    inference(superposition,[],[f29,f17]) ).

fof(f17,axiom,
    ! [X0] : inverse(inverse(X0)) = X0,
    file('/export/starexec/sandbox/tmp/tmp.0IYrQRiIBG/Vampire---4.8_17957',p23x_2) ).

fof(f29,plain,
    ! [X0] : ~ sP0(least_upper_bound(multiply(inverse(X0),X0),multiply(a,b))),
    inference(superposition,[],[f22,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.0IYrQRiIBG/Vampire---4.8_17957',left_inverse) ).

fof(f22,plain,
    ~ sP0(least_upper_bound(identity,multiply(a,b))),
    inference(forward_demodulation,[],[f20,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.0IYrQRiIBG/Vampire---4.8_17957',symmetry_of_lub) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : GRP186-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.02/0.11  % 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
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 18:59:26 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.10/0.32  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/tmp/tmp.0IYrQRiIBG/Vampire---4.8_17957
% 0.61/0.80  % (18072)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)
% 0.61/0.80  % (18074)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (18073)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)
% 0.61/0.80  % (18075)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)
% 0.61/0.80  % (18076)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)
% 0.61/0.80  % (18077)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)
% 0.61/0.80  % (18079)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)
% 0.61/0.80  % (18076)Refutation not found, incomplete strategy% (18076)------------------------------
% 0.61/0.80  % (18076)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (18076)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  % (18078)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)
% 0.61/0.80  
% 0.61/0.80  % (18076)Memory used [KB]: 987
% 0.61/0.80  % (18076)Time elapsed: 0.003 s
% 0.61/0.80  % (18076)Instructions burned: 2 (million)
% 0.61/0.80  % (18076)------------------------------
% 0.61/0.80  % (18076)------------------------------
% 0.61/0.80  % (18079)Refutation not found, incomplete strategy% (18079)------------------------------
% 0.61/0.80  % (18079)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (18079)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (18079)Memory used [KB]: 970
% 0.61/0.80  % (18079)Time elapsed: 0.002 s
% 0.61/0.80  % (18079)Instructions burned: 2 (million)
% 0.61/0.80  % (18079)------------------------------
% 0.61/0.80  % (18079)------------------------------
% 0.61/0.80  % (18075)Refutation not found, incomplete strategy% (18075)------------------------------
% 0.61/0.80  % (18075)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (18075)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (18075)Memory used [KB]: 982
% 0.61/0.80  % (18075)Time elapsed: 0.003 s
% 0.61/0.80  % (18075)Instructions burned: 3 (million)
% 0.61/0.80  % (18075)------------------------------
% 0.61/0.80  % (18075)------------------------------
% 0.61/0.81  % (18072)Refutation not found, incomplete strategy% (18072)------------------------------
% 0.61/0.81  % (18072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (18072)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (18072)Memory used [KB]: 987
% 0.61/0.81  % (18072)Time elapsed: 0.004 s
% 0.61/0.81  % (18072)Instructions burned: 3 (million)
% 0.61/0.81  % (18072)------------------------------
% 0.61/0.81  % (18072)------------------------------
% 0.61/0.81  % (18080)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)
% 0.61/0.81  % (18082)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)
% 0.61/0.81  % (18081)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)
% 0.61/0.81  % (18081)Refutation not found, incomplete strategy% (18081)------------------------------
% 0.61/0.81  % (18081)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (18081)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (18081)Memory used [KB]: 970
% 0.61/0.81  % (18081)Time elapsed: 0.002 s
% 0.61/0.81  % (18081)Instructions burned: 2 (million)
% 0.61/0.81  % (18081)------------------------------
% 0.61/0.81  % (18081)------------------------------
% 0.61/0.81  % (18083)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)
% 0.61/0.81  % (18084)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)
% 0.61/0.82  % (18077)Instruction limit reached!
% 0.61/0.82  % (18077)------------------------------
% 0.61/0.82  % (18077)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (18077)Termination reason: Unknown
% 0.61/0.82  % (18077)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (18077)Memory used [KB]: 1448
% 0.61/0.82  % (18077)Time elapsed: 0.024 s
% 0.61/0.82  % (18077)Instructions burned: 46 (million)
% 0.61/0.82  % (18077)------------------------------
% 0.61/0.82  % (18077)------------------------------
% 0.61/0.83  % (18073)Instruction limit reached!
% 0.61/0.83  % (18073)------------------------------
% 0.61/0.83  % (18073)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (18073)Termination reason: Unknown
% 0.61/0.83  % (18073)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (18073)Memory used [KB]: 1442
% 0.61/0.83  % (18073)Time elapsed: 0.027 s
% 0.61/0.83  % (18073)Instructions burned: 51 (million)
% 0.61/0.83  % (18073)------------------------------
% 0.61/0.83  % (18073)------------------------------
% 0.61/0.83  % (18085)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 (2994ds/42Mi)
% 0.61/0.83  % (18085)Refutation not found, incomplete strategy% (18085)------------------------------
% 0.61/0.83  % (18085)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (18085)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (18085)Memory used [KB]: 982
% 0.61/0.83  % (18085)Time elapsed: 0.003 s
% 0.61/0.83  % (18085)Instructions burned: 2 (million)
% 0.61/0.83  % (18085)------------------------------
% 0.61/0.83  % (18085)------------------------------
% 0.61/0.83  % (18086)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 (2994ds/243Mi)
% 0.61/0.83  % (18087)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 (2994ds/117Mi)
% 0.61/0.83  % (18080)Instruction limit reached!
% 0.61/0.83  % (18080)------------------------------
% 0.61/0.83  % (18080)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (18080)Termination reason: Unknown
% 0.61/0.83  % (18080)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (18080)Memory used [KB]: 1374
% 0.61/0.83  % (18080)Time elapsed: 0.028 s
% 0.61/0.83  % (18080)Instructions burned: 55 (million)
% 0.61/0.83  % (18080)------------------------------
% 0.61/0.83  % (18080)------------------------------
% 0.61/0.83  % (18087)Refutation not found, incomplete strategy% (18087)------------------------------
% 0.61/0.83  % (18087)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (18087)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (18087)Memory used [KB]: 970
% 0.61/0.83  % (18087)Time elapsed: 0.002 s
% 0.61/0.83  % (18087)Instructions burned: 2 (million)
% 0.61/0.83  % (18087)------------------------------
% 0.61/0.83  % (18087)------------------------------
% 0.61/0.84  % (18083)Instruction limit reached!
% 0.61/0.84  % (18083)------------------------------
% 0.61/0.84  % (18083)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (18083)Termination reason: Unknown
% 0.61/0.84  % (18083)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (18083)Memory used [KB]: 1602
% 0.61/0.84  % (18083)Time elapsed: 0.029 s
% 0.61/0.84  % (18083)Instructions burned: 53 (million)
% 0.61/0.84  % (18083)------------------------------
% 0.61/0.84  % (18083)------------------------------
% 0.61/0.84  % (18088)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 (2994ds/143Mi)
% 0.61/0.84  % (18089)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 (2994ds/93Mi)
% 0.61/0.84  % (18088)Refutation not found, incomplete strategy% (18088)------------------------------
% 0.61/0.84  % (18088)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (18088)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (18088)Memory used [KB]: 990
% 0.61/0.84  % (18088)Time elapsed: 0.003 s
% 0.61/0.84  % (18088)Instructions burned: 4 (million)
% 0.61/0.84  % (18088)------------------------------
% 0.61/0.84  % (18088)------------------------------
% 0.61/0.84  % (18074)Instruction limit reached!
% 0.61/0.84  % (18074)------------------------------
% 0.61/0.84  % (18074)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (18090)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 (2994ds/62Mi)
% 0.61/0.84  % (18074)Termination reason: Unknown
% 0.61/0.84  % (18074)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (18074)Memory used [KB]: 1731
% 0.61/0.84  % (18074)Time elapsed: 0.039 s
% 0.61/0.84  % (18074)Instructions burned: 78 (million)
% 0.61/0.84  % (18074)------------------------------
% 0.61/0.84  % (18074)------------------------------
% 0.61/0.84  % (18090)Refutation not found, incomplete strategy% (18090)------------------------------
% 0.61/0.84  % (18090)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (18090)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (18090)Memory used [KB]: 972
% 0.61/0.84  % (18090)Time elapsed: 0.002 s
% 0.61/0.84  % (18090)Instructions burned: 2 (million)
% 0.61/0.84  % (18090)------------------------------
% 0.61/0.84  % (18090)------------------------------
% 0.61/0.84  % (18089)First to succeed.
% 0.61/0.84  % (18091)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 (2994ds/32Mi)
% 0.61/0.84  % (18092)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 (2994ds/1919Mi)
% 0.61/0.84  % (18089)Refutation found. Thanks to Tanya!
% 0.61/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.84  % (18089)------------------------------
% 0.61/0.84  % (18089)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (18089)Termination reason: Refutation
% 0.61/0.84  
% 0.61/0.84  % (18089)Memory used [KB]: 1070
% 0.61/0.84  % (18089)Time elapsed: 0.006 s
% 0.61/0.84  % (18089)Instructions burned: 9 (million)
% 0.61/0.84  % (18089)------------------------------
% 0.61/0.84  % (18089)------------------------------
% 0.61/0.84  % (18068)Success in time 0.515 s
% 0.61/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------