TSTP Solution File: GRP446-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP446-1 : 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 : n014.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 02:29:29 EDT 2024

% Result   : Unsatisfiable 0.83s 1.07s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (  36 unt;   0 def)
%            Number of atoms       :   36 (  35 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f413,plain,
    $false,
    inference(subsumption_resolution,[],[f397,f8]) ).

fof(f8,plain,
    a2 != sF2,
    inference(definition_folding,[],[f4,f7,f6,f5]) ).

fof(f5,plain,
    inverse(b2) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f6,plain,
    multiply(sF0,b2) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f7,plain,
    multiply(sF1,a2) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f4,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox2/tmp/tmp.SKsXB28yD5/Vampire---4.8_6396',prove_these_axioms_2) ).

fof(f397,plain,
    a2 = sF2,
    inference(superposition,[],[f291,f58]) ).

fof(f58,plain,
    sF2 = inverse(inverse(a2)),
    inference(superposition,[],[f36,f7]) ).

fof(f36,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(sF1,X0),
    inference(superposition,[],[f35,f9]) ).

fof(f9,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox2/tmp/tmp.SKsXB28yD5/Vampire---4.8_6396',inverse) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.SKsXB28yD5/Vampire---4.8_6396',multiply) ).

fof(f35,plain,
    ! [X0] : inverse(X0) = divide(sF1,X0),
    inference(superposition,[],[f3,f17]) ).

fof(f17,plain,
    sF1 = divide(sF0,sF0),
    inference(superposition,[],[f13,f6]) ).

fof(f13,plain,
    ! [X0] : multiply(X0,b2) = divide(X0,sF0),
    inference(superposition,[],[f9,f5]) ).

fof(f291,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f290,f240]) ).

fof(f240,plain,
    ! [X0] : divide(X0,sF1) = X0,
    inference(superposition,[],[f11,f224]) ).

fof(f224,plain,
    ! [X0] : divide(X0,X0) = sF1,
    inference(forward_demodulation,[],[f208,f223]) ).

fof(f223,plain,
    ! [X0] : sF1 = inverse(multiply(inverse(X0),X0)),
    inference(forward_demodulation,[],[f207,f35]) ).

fof(f207,plain,
    ! [X0] : sF1 = inverse(multiply(divide(sF1,X0),X0)),
    inference(superposition,[],[f32,f102]) ).

fof(f102,plain,
    sF1 = inverse(sF1),
    inference(forward_demodulation,[],[f93,f79]) ).

fof(f79,plain,
    ! [X0,X1] : sF1 = divide(X1,divide(inverse(X0),divide(inverse(X1),X0))),
    inference(superposition,[],[f11,f38]) ).

fof(f38,plain,
    ! [X0] : inverse(X0) = divide(inverse(sF1),X0),
    inference(superposition,[],[f3,f35]) ).

fof(f93,plain,
    ! [X0,X1] : inverse(sF1) = divide(X1,divide(inverse(X0),divide(inverse(X1),X0))),
    inference(superposition,[],[f11,f45]) ).

fof(f45,plain,
    ! [X0] : inverse(X0) = divide(inverse(inverse(sF1)),X0),
    inference(superposition,[],[f12,f35]) ).

fof(f12,plain,
    ! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
    inference(superposition,[],[f3,f3]) ).

fof(f32,plain,
    ! [X2,X1] : inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
    inference(forward_demodulation,[],[f31,f9]) ).

fof(f31,plain,
    ! [X2,X1] : inverse(divide(divide(inverse(X1),X2),inverse(X2))) = X1,
    inference(forward_demodulation,[],[f26,f12]) ).

fof(f26,plain,
    ! [X2,X0,X1] : inverse(divide(divide(inverse(X1),X2),divide(inverse(divide(X0,X0)),X2))) = X1,
    inference(superposition,[],[f11,f3]) ).

fof(f208,plain,
    ! [X0,X1] : divide(X0,X0) = inverse(multiply(inverse(X1),X1)),
    inference(superposition,[],[f32,f12]) ).

fof(f11,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
    inference(forward_demodulation,[],[f10,f3]) ).

fof(f10,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
    inference(forward_demodulation,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.SKsXB28yD5/Vampire---4.8_6396',single_axiom) ).

fof(f290,plain,
    ! [X0] : inverse(divide(inverse(X0),sF1)) = X0,
    inference(forward_demodulation,[],[f277,f129]) ).

fof(f129,plain,
    ! [X0] : multiply(X0,sF1) = divide(X0,sF1),
    inference(superposition,[],[f9,f102]) ).

fof(f277,plain,
    ! [X0] : inverse(multiply(inverse(X0),sF1)) = X0,
    inference(superposition,[],[f32,f240]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP446-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14  % 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 : n014.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   : Tue Apr 30 18:19:03 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36  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.SKsXB28yD5/Vampire---4.8_6396
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% 0.20/0.52  ipcrm: permission denied for id (1731166334)
% 0.20/0.52  ipcrm: permission denied for id (1746141311)
% 0.83/1.06  % (6766)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 (2993ds/34Mi)
% 0.83/1.06  % (6768)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2993ds/78Mi)
% 0.83/1.06  % (6767)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 (2993ds/51Mi)
% 0.83/1.06  % (6769)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2993ds/33Mi)
% 0.83/1.06  % (6770)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 (2993ds/34Mi)
% 0.83/1.06  % (6771)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2993ds/45Mi)
% 0.83/1.06  % (6773)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 (2993ds/56Mi)
% 0.83/1.06  % (6773)Refutation not found, incomplete strategy% (6773)------------------------------
% 0.83/1.06  % (6773)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.06  % (6773)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.06  % (6770)Refutation not found, incomplete strategy% (6770)------------------------------
% 0.83/1.06  % (6770)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.06  % (6770)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.06  
% 0.83/1.06  % (6770)Memory used [KB]: 961
% 0.83/1.06  % (6770)Time elapsed: 0.002 s
% 0.83/1.06  % (6770)Instructions burned: 2 (million)
% 0.83/1.06  % (6770)------------------------------
% 0.83/1.06  % (6770)------------------------------
% 0.83/1.06  % (6769)Refutation not found, incomplete strategy% (6769)------------------------------
% 0.83/1.06  % (6769)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.06  % (6769)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.06  
% 0.83/1.06  % (6769)Memory used [KB]: 956
% 0.83/1.06  % (6769)Time elapsed: 0.002 s
% 0.83/1.06  % (6769)Instructions burned: 2 (million)
% 0.83/1.06  % (6769)------------------------------
% 0.83/1.06  % (6769)------------------------------
% 0.83/1.06  % (6766)Refutation not found, incomplete strategy% (6766)------------------------------
% 0.83/1.06  % (6766)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.06  % (6766)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.06  
% 0.83/1.06  % (6766)Memory used [KB]: 963
% 0.83/1.06  % (6766)Time elapsed: 0.003 s
% 0.83/1.06  % (6766)Instructions burned: 2 (million)
% 0.83/1.06  % (6766)------------------------------
% 0.83/1.06  % (6766)------------------------------
% 0.83/1.06  
% 0.83/1.06  % (6773)Memory used [KB]: 947
% 0.83/1.06  % (6773)Time elapsed: 0.002 s
% 0.83/1.06  % (6773)Instructions burned: 2 (million)
% 0.83/1.06  % (6773)------------------------------
% 0.83/1.06  % (6773)------------------------------
% 0.83/1.06  % (6772)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 (2993ds/83Mi)
% 0.83/1.06  % (6772)Refutation not found, incomplete strategy% (6772)------------------------------
% 0.83/1.06  % (6772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.06  % (6772)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.06  
% 0.83/1.06  % (6772)Memory used [KB]: 948
% 0.83/1.06  % (6772)Time elapsed: 0.002 s
% 0.83/1.06  % (6772)Instructions burned: 2 (million)
% 0.83/1.06  % (6772)------------------------------
% 0.83/1.06  % (6772)------------------------------
% 0.83/1.06  % (6771)Refutation not found, incomplete strategy% (6771)------------------------------
% 0.83/1.06  % (6771)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.06  % (6771)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.06  
% 0.83/1.06  % (6771)Memory used [KB]: 1027
% 0.83/1.06  % (6771)Time elapsed: 0.006 s
% 0.83/1.06  % (6771)Instructions burned: 8 (million)
% 0.83/1.06  % (6771)------------------------------
% 0.83/1.06  % (6771)------------------------------
% 0.83/1.06  % (6774)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 (2993ds/55Mi)
% 0.83/1.06  % (6777)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 (2993ds/52Mi)
% 0.83/1.06  % (6776)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 (2993ds/208Mi)
% 0.83/1.06  % (6778)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 (2993ds/518Mi)
% 0.83/1.06  % (6775)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 (2993ds/50Mi)
% 0.83/1.06  % (6775)Refutation not found, incomplete strategy% (6775)------------------------------
% 0.83/1.06  % (6775)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.06  % (6775)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.06  
% 0.83/1.06  % (6775)Memory used [KB]: 946
% 0.83/1.06  % (6775)Time elapsed: 0.002 s
% 0.83/1.06  % (6775)Instructions burned: 2 (million)
% 0.83/1.06  % (6775)------------------------------
% 0.83/1.06  % (6775)------------------------------
% 0.83/1.06  % (6779)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 (2993ds/42Mi)
% 0.83/1.06  % (6779)Refutation not found, incomplete strategy% (6779)------------------------------
% 0.83/1.06  % (6779)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.06  % (6779)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.06  
% 0.83/1.06  % (6779)Memory used [KB]: 945
% 0.83/1.06  % (6779)Time elapsed: 0.002 s
% 0.83/1.06  % (6779)Instructions burned: 2 (million)
% 0.83/1.06  % (6779)------------------------------
% 0.83/1.06  % (6779)------------------------------
% 0.83/1.07  % (6778)Refutation not found, incomplete strategy% (6778)------------------------------
% 0.83/1.07  % (6778)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.07  % (6778)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.07  
% 0.83/1.07  % (6778)Memory used [KB]: 1026
% 0.83/1.07  % (6778)Time elapsed: 0.029 s
% 0.83/1.07  % (6778)Instructions burned: 8 (million)
% 0.83/1.07  % (6778)------------------------------
% 0.83/1.07  % (6778)------------------------------
% 0.83/1.07  % (6781)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 (2993ds/243Mi)
% 0.83/1.07  % (6782)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 (2992ds/117Mi)
% 0.83/1.07  % (6783)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 (2992ds/143Mi)
% 0.83/1.07  % (6782)Refutation not found, incomplete strategy% (6782)------------------------------
% 0.83/1.07  % (6782)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.07  % (6782)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.07  
% 0.83/1.07  % (6782)Memory used [KB]: 948
% 0.83/1.07  % (6782)Time elapsed: 0.002 s
% 0.83/1.07  % (6782)Instructions burned: 2 (million)
% 0.83/1.07  % (6782)------------------------------
% 0.83/1.07  % (6782)------------------------------
% 0.83/1.07  % (6783)Refutation not found, incomplete strategy% (6783)------------------------------
% 0.83/1.07  % (6783)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.07  % (6783)Termination reason: Refutation not found, incomplete strategy
% 0.83/1.07  
% 0.83/1.07  % (6783)Memory used [KB]: 964
% 0.83/1.07  % (6783)Time elapsed: 0.002 s
% 0.83/1.07  % (6783)Instructions burned: 2 (million)
% 0.83/1.07  % (6783)------------------------------
% 0.83/1.07  % (6783)------------------------------
% 0.83/1.07  % (6776)First to succeed.
% 0.83/1.07  % (6776)Refutation found. Thanks to Tanya!
% 0.83/1.07  % SZS status Unsatisfiable for Vampire---4
% 0.83/1.07  % SZS output start Proof for Vampire---4
% See solution above
% 0.83/1.07  % (6776)------------------------------
% 0.83/1.07  % (6776)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.07  % (6776)Termination reason: Refutation
% 0.83/1.07  
% 0.83/1.07  % (6776)Memory used [KB]: 1155
% 0.83/1.07  % (6776)Time elapsed: 0.035 s
% 0.83/1.07  % (6776)Instructions burned: 18 (million)
% 0.83/1.07  % (6776)------------------------------
% 0.83/1.07  % (6776)------------------------------
% 0.83/1.07  % (6542)Success in time 0.714 s
% 0.83/1.07  % Vampire---4.8 exiting
%------------------------------------------------------------------------------