TSTP Solution File: GRP449-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP449-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n006.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 05:48:22 EDT 2024

% Result   : Unsatisfiable 0.49s 0.73s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   38 (  38 unt;   0 def)
%            Number of atoms       :   38 (  33 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   72 (  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f632,plain,
    $false,
    inference(subsumption_resolution,[],[f622,f6]) ).

fof(f6,plain,
    sP0(a2),
    inference(inequality_splitting,[],[f4,f5]) ).

fof(f5,plain,
    ~ sP0(multiply(multiply(inverse(b2),b2),a2)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f4,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox2/tmp/tmp.8F4crDZJ8u/Vampire---4.8_1222',prove_these_axioms_2) ).

fof(f622,plain,
    ~ sP0(a2),
    inference(backward_demodulation,[],[f23,f573]) ).

fof(f573,plain,
    ! [X1] : inverse(inverse(X1)) = X1,
    inference(forward_demodulation,[],[f556,f485]) ).

fof(f485,plain,
    ! [X2,X0] : multiply(X2,divide(X0,X0)) = X2,
    inference(forward_demodulation,[],[f469,f280]) ).

fof(f280,plain,
    ! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
    inference(superposition,[],[f109,f214]) ).

fof(f214,plain,
    ! [X0,X1] : divide(X0,X0) = inverse(multiply(inverse(X1),X1)),
    inference(superposition,[],[f111,f10]) ).

fof(f10,plain,
    ! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
    inference(superposition,[],[f3,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
    file('/export/starexec/sandbox2/tmp/tmp.8F4crDZJ8u/Vampire---4.8_1222',inverse) ).

fof(f111,plain,
    ! [X2,X1] : inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
    inference(forward_demodulation,[],[f110,f8]) ).

fof(f8,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(backward_demodulation,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.8F4crDZJ8u/Vampire---4.8_1222',multiply) ).

fof(f110,plain,
    ! [X2,X1] : inverse(divide(divide(inverse(X1),X2),inverse(X2))) = X1,
    inference(forward_demodulation,[],[f91,f10]) ).

fof(f91,plain,
    ! [X2,X0,X1] : inverse(divide(divide(inverse(X1),X2),divide(inverse(divide(X0,X0)),X2))) = X1,
    inference(superposition,[],[f9,f3]) ).

fof(f9,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
    inference(forward_demodulation,[],[f7,f3]) ).

fof(f7,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
    inference(backward_demodulation,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.8F4crDZJ8u/Vampire---4.8_1222',single_axiom) ).

fof(f109,plain,
    ! [X0,X1] : divide(X1,inverse(multiply(inverse(X1),X0))) = X0,
    inference(forward_demodulation,[],[f90,f8]) ).

fof(f90,plain,
    ! [X0,X1] : divide(X1,inverse(divide(inverse(X1),inverse(X0)))) = X0,
    inference(superposition,[],[f9,f3]) ).

fof(f469,plain,
    ! [X2,X0,X1] : divide(X2,divide(X1,X1)) = multiply(X2,divide(X0,X0)),
    inference(superposition,[],[f8,f290]) ).

fof(f290,plain,
    ! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
    inference(forward_demodulation,[],[f257,f178]) ).

fof(f178,plain,
    ! [X0,X1] : multiply(X1,inverse(inverse(inverse(X0)))) = divide(X1,X0),
    inference(superposition,[],[f8,f152]) ).

fof(f152,plain,
    ! [X1] : inverse(inverse(inverse(inverse(X1)))) = X1,
    inference(forward_demodulation,[],[f137,f17]) ).

fof(f17,plain,
    ! [X0,X1] : inverse(inverse(X1)) = multiply(inverse(divide(X0,X0)),X1),
    inference(superposition,[],[f10,f8]) ).

fof(f137,plain,
    ! [X0,X1] : inverse(inverse(multiply(inverse(divide(X0,X0)),X1))) = X1,
    inference(superposition,[],[f109,f3]) ).

fof(f257,plain,
    ! [X0,X1] : divide(X1,X1) = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f214,f152]) ).

fof(f556,plain,
    ! [X0,X1] : inverse(multiply(inverse(X1),divide(X0,X0))) = X1,
    inference(superposition,[],[f298,f3]) ).

fof(f298,plain,
    ! [X2,X0] : divide(X0,multiply(inverse(X2),X0)) = X2,
    inference(backward_demodulation,[],[f294,f297]) ).

fof(f297,plain,
    ! [X2,X0] : multiply(X2,multiply(inverse(X0),X0)) = X2,
    inference(forward_demodulation,[],[f281,f280]) ).

fof(f281,plain,
    ! [X2,X0,X1] : multiply(X2,multiply(inverse(X0),X0)) = divide(X2,divide(X1,X1)),
    inference(superposition,[],[f8,f214]) ).

fof(f294,plain,
    ! [X2,X0,X1] : divide(X0,multiply(multiply(inverse(X2),X0),multiply(inverse(X1),X1))) = X2,
    inference(forward_demodulation,[],[f293,f8]) ).

fof(f293,plain,
    ! [X2,X0,X1] : divide(X0,multiply(divide(inverse(X2),inverse(X0)),multiply(inverse(X1),X1))) = X2,
    inference(forward_demodulation,[],[f273,f8]) ).

fof(f273,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(inverse(X2),inverse(X0)),inverse(multiply(inverse(X1),X1)))) = X2,
    inference(superposition,[],[f9,f214]) ).

fof(f23,plain,
    ~ sP0(inverse(inverse(a2))),
    inference(backward_demodulation,[],[f5,f21]) ).

fof(f21,plain,
    ! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(inverse(X0),X0),X1),
    inference(superposition,[],[f11,f8]) ).

fof(f11,plain,
    ! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
    inference(superposition,[],[f8,f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP449-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13  % 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
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 20:39:23 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.34  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.8F4crDZJ8u/Vampire---4.8_1222
% 0.49/0.72  % (1330)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 (2996ds/34Mi)
% 0.49/0.72  % (1332)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.49/0.72  % (1333)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.49/0.72  % (1331)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 (2996ds/51Mi)
% 0.49/0.72  % (1334)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 (2996ds/34Mi)
% 0.49/0.72  % (1335)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.49/0.72  % (1337)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 (2996ds/83Mi)
% 0.49/0.72  % (1330)Refutation not found, incomplete strategy% (1330)------------------------------
% 0.49/0.72  % (1330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (1330)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (1330)Memory used [KB]: 963
% 0.49/0.72  % (1330)Time elapsed: 0.002 s
% 0.49/0.72  % (1330)Instructions burned: 2 (million)
% 0.49/0.72  % (1333)Refutation not found, incomplete strategy% (1333)------------------------------
% 0.49/0.72  % (1333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (1333)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  % (1330)------------------------------
% 0.49/0.72  % (1330)------------------------------
% 0.49/0.72  % (1334)Refutation not found, incomplete strategy% (1334)------------------------------
% 0.49/0.72  % (1334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (1334)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (1334)Memory used [KB]: 961
% 0.49/0.72  % (1334)Time elapsed: 0.002 s
% 0.49/0.72  % (1334)Instructions burned: 2 (million)
% 0.49/0.72  
% 0.49/0.72  % (1333)Memory used [KB]: 957
% 0.49/0.72  % (1333)Time elapsed: 0.002 s
% 0.49/0.72  % (1333)Instructions burned: 2 (million)
% 0.49/0.72  % (1334)------------------------------
% 0.49/0.72  % (1334)------------------------------
% 0.49/0.72  % (1337)Refutation not found, incomplete strategy% (1337)------------------------------
% 0.49/0.72  % (1337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (1337)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (1337)Memory used [KB]: 949
% 0.49/0.72  % (1337)Time elapsed: 0.002 s
% 0.49/0.72  % (1337)Instructions burned: 2 (million)
% 0.49/0.72  % (1333)------------------------------
% 0.49/0.72  % (1333)------------------------------
% 0.49/0.72  % (1337)------------------------------
% 0.49/0.72  % (1337)------------------------------
% 0.49/0.72  % (1338)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 (2996ds/56Mi)
% 0.49/0.72  % (1339)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 (2996ds/55Mi)
% 0.49/0.72  % (1338)Refutation not found, incomplete strategy% (1338)------------------------------
% 0.49/0.72  % (1338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (1338)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (1338)Memory used [KB]: 948
% 0.49/0.72  % (1338)Time elapsed: 0.003 s
% 0.49/0.72  % (1338)Instructions burned: 2 (million)
% 0.49/0.72  % (1338)------------------------------
% 0.49/0.72  % (1338)------------------------------
% 0.49/0.72  % (1335)Refutation not found, incomplete strategy% (1335)------------------------------
% 0.49/0.72  % (1335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (1335)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (1335)Memory used [KB]: 1027
% 0.49/0.72  % (1335)Time elapsed: 0.005 s
% 0.49/0.72  % (1335)Instructions burned: 8 (million)
% 0.49/0.72  % (1340)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 (2996ds/50Mi)
% 0.49/0.72  % (1335)------------------------------
% 0.49/0.72  % (1335)------------------------------
% 0.49/0.72  % (1342)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 (2996ds/52Mi)
% 0.49/0.72  % (1340)Refutation not found, incomplete strategy% (1340)------------------------------
% 0.49/0.72  % (1340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (1340)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (1340)Memory used [KB]: 947
% 0.49/0.72  % (1340)Time elapsed: 0.002 s
% 0.49/0.72  % (1340)Instructions burned: 2 (million)
% 0.49/0.72  % (1340)------------------------------
% 0.49/0.72  % (1340)------------------------------
% 0.49/0.73  % (1344)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 (2996ds/42Mi)
% 0.49/0.73  % (1344)Refutation not found, incomplete strategy% (1344)------------------------------
% 0.49/0.73  % (1344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.73  % (1344)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.73  
% 0.49/0.73  % (1344)Memory used [KB]: 946
% 0.49/0.73  % (1344)Time elapsed: 0.002 s
% 0.49/0.73  % (1344)Instructions burned: 2 (million)
% 0.49/0.73  % (1343)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 (2996ds/518Mi)
% 0.49/0.73  % (1344)------------------------------
% 0.49/0.73  % (1344)------------------------------
% 0.49/0.73  % (1341)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 (2996ds/208Mi)
% 0.49/0.73  % (1345)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 (2996ds/243Mi)
% 0.49/0.73  % (1343)Refutation not found, incomplete strategy% (1343)------------------------------
% 0.49/0.73  % (1343)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.73  % (1343)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.73  
% 0.49/0.73  % (1343)Memory used [KB]: 1026
% 0.49/0.73  % (1343)Time elapsed: 0.005 s
% 0.49/0.73  % (1343)Instructions burned: 8 (million)
% 0.49/0.73  % (1343)------------------------------
% 0.49/0.73  % (1343)------------------------------
% 0.49/0.73  % (1339)First to succeed.
% 0.49/0.73  % (1339)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1329"
% 0.49/0.73  % (1339)Refutation found. Thanks to Tanya!
% 0.49/0.73  % SZS status Unsatisfiable for Vampire---4
% 0.49/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.49/0.73  % (1339)------------------------------
% 0.49/0.73  % (1339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.73  % (1339)Termination reason: Refutation
% 0.49/0.73  
% 0.49/0.73  % (1339)Memory used [KB]: 1218
% 0.49/0.73  % (1339)Time elapsed: 0.010 s
% 0.49/0.73  % (1339)Instructions burned: 32 (million)
% 0.49/0.73  % (1329)Success in time 0.372 s
% 0.49/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------