TSTP Solution File: GRP560-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP560-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n009.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 02:30:12 EDT 2024

% Result   : Unsatisfiable 0.62s 0.76s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   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   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f499,plain,
    $false,
    inference(subsumption_resolution,[],[f498,f5]) ).

fof(f5,plain,
    ~ sP0(divide(a,inverse(b))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f498,plain,
    sP0(divide(a,inverse(b))),
    inference(backward_demodulation,[],[f6,f488]) ).

fof(f488,plain,
    ! [X0,X1] : divide(X0,inverse(X1)) = divide(X1,inverse(X0)),
    inference(superposition,[],[f272,f382]) ).

fof(f382,plain,
    ! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
    inference(superposition,[],[f269,f363]) ).

fof(f363,plain,
    ! [X0,X1] : divide(divide(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f272,f349]) ).

fof(f349,plain,
    ! [X1] : inverse(inverse(X1)) = X1,
    inference(backward_demodulation,[],[f228,f348]) ).

fof(f348,plain,
    ! [X0,X1] : inverse(X1) = divide(divide(X0,X0),X1),
    inference(forward_demodulation,[],[f279,f276]) ).

fof(f276,plain,
    ! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
    inference(superposition,[],[f269,f17]) ).

fof(f17,plain,
    ! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
    inference(superposition,[],[f7,f13]) ).

fof(f13,plain,
    ! [X0,X1] : divide(X0,inverse(divide(X1,X1))) = X0,
    inference(superposition,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.OwvRoR1wCW/Vampire---4.8_7391',single_axiom) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] : divide(X3,inverse(divide(X1,divide(X3,inverse(divide(divide(X1,X2),divide(X0,X2))))))) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f279,plain,
    ! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
    inference(superposition,[],[f269,f28]) ).

fof(f28,plain,
    ! [X0,X1] : divide(inverse(divide(X1,X1)),inverse(X0)) = X0,
    inference(superposition,[],[f17,f13]) ).

fof(f228,plain,
    ! [X0,X1] : inverse(divide(divide(X0,X0),X1)) = X1,
    inference(superposition,[],[f29,f13]) ).

fof(f29,plain,
    ! [X0,X1] : divide(inverse(divide(X1,X0)),inverse(X1)) = X0,
    inference(superposition,[],[f17,f17]) ).

fof(f269,plain,
    ! [X2,X0] : divide(X2,divide(X2,X0)) = X0,
    inference(backward_demodulation,[],[f127,f228]) ).

fof(f127,plain,
    ! [X2,X0,X1] : divide(X2,inverse(divide(divide(X1,X1),divide(X2,X0)))) = X0,
    inference(superposition,[],[f1,f79]) ).

fof(f79,plain,
    ! [X2,X1] : divide(X1,X1) = divide(X2,X2),
    inference(superposition,[],[f52,f52]) ).

fof(f52,plain,
    ! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
    inference(superposition,[],[f28,f13]) ).

fof(f272,plain,
    ! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
    inference(backward_demodulation,[],[f30,f269]) ).

fof(f30,plain,
    ! [X2,X0,X1] : divide(divide(X0,X1),inverse(divide(X2,divide(X2,X1)))) = X0,
    inference(superposition,[],[f7,f17]) ).

fof(f6,plain,
    sP0(divide(b,inverse(a))),
    inference(inequality_splitting,[],[f4,f5]) ).

fof(f4,plain,
    divide(a,inverse(b)) != divide(b,inverse(a)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.OwvRoR1wCW/Vampire---4.8_7391',multiply) ).

fof(f3,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/tmp/tmp.OwvRoR1wCW/Vampire---4.8_7391',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : GRP560-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.15  % 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 : n009.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 18:20:41 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.OwvRoR1wCW/Vampire---4.8_7391
% 0.59/0.75  % (7614)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)
% 0.59/0.75  % (7613)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)
% 0.59/0.75  % (7614)Refutation not found, incomplete strategy% (7614)------------------------------
% 0.59/0.75  % (7614)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7614)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7614)Memory used [KB]: 947
% 0.59/0.75  % (7614)Time elapsed: 0.001 s
% 0.59/0.75  % (7614)Instructions burned: 2 (million)
% 0.59/0.75  % (7614)------------------------------
% 0.59/0.75  % (7614)------------------------------
% 0.59/0.75  % (7613)Refutation not found, incomplete strategy% (7613)------------------------------
% 0.59/0.75  % (7613)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7613)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7613)Memory used [KB]: 948
% 0.59/0.75  % (7613)Time elapsed: 0.001 s
% 0.59/0.75  % (7613)Instructions burned: 2 (million)
% 0.59/0.75  % (7613)------------------------------
% 0.59/0.75  % (7613)------------------------------
% 0.59/0.75  % (7610)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)
% 0.59/0.75  % (7611)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)
% 0.59/0.75  % (7608)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)
% 0.59/0.75  % (7609)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (7612)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)
% 0.59/0.75  % (7607)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)
% 0.59/0.75  % (7610)Refutation not found, incomplete strategy% (7610)------------------------------
% 0.59/0.75  % (7610)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7611)Refutation not found, incomplete strategy% (7611)------------------------------
% 0.59/0.75  % (7611)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7611)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7611)Memory used [KB]: 961
% 0.59/0.75  % (7611)Time elapsed: 0.002 s
% 0.59/0.75  % (7611)Instructions burned: 2 (million)
% 0.59/0.75  % (7611)------------------------------
% 0.59/0.75  % (7611)------------------------------
% 0.59/0.75  % (7610)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7610)Memory used [KB]: 946
% 0.59/0.75  % (7610)Time elapsed: 0.002 s
% 0.59/0.75  % (7610)Instructions burned: 2 (million)
% 0.59/0.75  % (7612)Refutation not found, incomplete strategy% (7612)------------------------------
% 0.59/0.75  % (7612)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7612)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7612)Memory used [KB]: 948
% 0.59/0.75  % (7612)Time elapsed: 0.002 s
% 0.59/0.75  % (7612)Instructions burned: 2 (million)
% 0.59/0.75  % (7612)------------------------------
% 0.59/0.75  % (7612)------------------------------
% 0.59/0.75  % (7610)------------------------------
% 0.59/0.75  % (7610)------------------------------
% 0.59/0.75  % (7607)Refutation not found, incomplete strategy% (7607)------------------------------
% 0.59/0.75  % (7607)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7607)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7607)Memory used [KB]: 961
% 0.59/0.75  % (7607)Time elapsed: 0.003 s
% 0.59/0.75  % (7607)Instructions burned: 2 (million)
% 0.59/0.75  % (7607)------------------------------
% 0.59/0.75  % (7607)------------------------------
% 0.59/0.75  % (7617)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)
% 0.59/0.75  % (7618)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)
% 0.59/0.75  % (7618)Refutation not found, incomplete strategy% (7618)------------------------------
% 0.59/0.75  % (7618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7618)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7618)Memory used [KB]: 947
% 0.59/0.75  % (7618)Time elapsed: 0.001 s
% 0.59/0.75  % (7618)Instructions burned: 2 (million)
% 0.59/0.75  % (7618)------------------------------
% 0.59/0.75  % (7618)------------------------------
% 0.59/0.75  % (7619)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)
% 0.59/0.75  % (7623)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)
% 0.59/0.75  % (7620)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)
% 0.59/0.75  % (7621)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)
% 0.59/0.75  % (7622)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)
% 0.59/0.75  % (7621)Refutation not found, incomplete strategy% (7621)------------------------------
% 0.59/0.75  % (7621)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7621)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7621)Memory used [KB]: 948
% 0.59/0.75  % (7621)Time elapsed: 0.003 s
% 0.59/0.75  % (7621)Instructions burned: 2 (million)
% 0.59/0.75  % (7621)------------------------------
% 0.59/0.75  % (7621)------------------------------
% 0.59/0.75  % (7622)Refutation not found, incomplete strategy% (7622)------------------------------
% 0.59/0.75  % (7622)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7622)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7622)Memory used [KB]: 947
% 0.59/0.75  % (7622)Time elapsed: 0.003 s
% 0.59/0.75  % (7622)Instructions burned: 2 (million)
% 0.59/0.75  % (7622)------------------------------
% 0.59/0.75  % (7622)------------------------------
% 0.62/0.76  % (7626)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 (2996ds/117Mi)
% 0.62/0.76  % (7627)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 (2996ds/143Mi)
% 0.62/0.76  % (7626)Refutation not found, incomplete strategy% (7626)------------------------------
% 0.62/0.76  % (7626)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.76  % (7626)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (7626)Memory used [KB]: 948
% 0.62/0.76  % (7626)Time elapsed: 0.003 s
% 0.62/0.76  % (7626)Instructions burned: 2 (million)
% 0.62/0.76  % (7626)------------------------------
% 0.62/0.76  % (7626)------------------------------
% 0.62/0.76  % (7617)First to succeed.
% 0.62/0.76  % (7627)Refutation not found, incomplete strategy% (7627)------------------------------
% 0.62/0.76  % (7627)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.76  % (7627)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (7627)Memory used [KB]: 962
% 0.62/0.76  % (7627)Time elapsed: 0.002 s
% 0.62/0.76  % (7627)Instructions burned: 2 (million)
% 0.62/0.76  % (7627)------------------------------
% 0.62/0.76  % (7627)------------------------------
% 0.62/0.76  % (7617)Refutation found. Thanks to Tanya!
% 0.62/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.76  % (7617)------------------------------
% 0.62/0.76  % (7617)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.76  % (7617)Termination reason: Refutation
% 0.62/0.76  
% 0.62/0.76  % (7617)Memory used [KB]: 1219
% 0.62/0.76  % (7617)Time elapsed: 0.011 s
% 0.62/0.76  % (7617)Instructions burned: 31 (million)
% 0.62/0.76  % (7617)------------------------------
% 0.62/0.76  % (7617)------------------------------
% 0.62/0.76  % (7596)Success in time 0.391 s
% 0.62/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------