TSTP Solution File: GRP467-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP467-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 02:29:33 EDT 2024

% Result   : Unsatisfiable 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f411,plain,
    $false,
    inference(subsumption_resolution,[],[f403,f9]) ).

fof(f9,plain,
    a2 != sF3,
    inference(definition_folding,[],[f4,f8,f7,f6,f5,f5]) ).

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

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

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

fof(f8,plain,
    divide(sF1,sF2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f4,plain,
    a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    file('/export/starexec/sandbox/tmp/tmp.KY9BtBUKSM/Vampire---4.8_7358',multiply) ).

fof(f3,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox/tmp/tmp.KY9BtBUKSM/Vampire---4.8_7358',prove_these_axioms_2) ).

fof(f403,plain,
    a2 = sF3,
    inference(superposition,[],[f189,f66]) ).

fof(f66,plain,
    sF3 = divide(sF1,divide(sF2,divide(sF1,inverse(sF1)))),
    inference(forward_demodulation,[],[f61,f27]) ).

fof(f27,plain,
    ! [X0] : divide(X0,X0) = sF1,
    inference(forward_demodulation,[],[f22,f21]) ).

fof(f21,plain,
    ! [X2,X0,X1] : sF1 = divide(sF1,divide(divide(divide(X1,divide(X2,X0)),inverse(X2)),divide(X1,inverse(X0)))),
    inference(superposition,[],[f10,f10]) ).

fof(f10,plain,
    ! [X2,X0,X1] : divide(sF1,divide(X0,divide(divide(X1,divide(X2,X0)),inverse(X2)))) = X1,
    inference(superposition,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
    file('/export/starexec/sandbox/tmp/tmp.KY9BtBUKSM/Vampire---4.8_7358',single_axiom) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] : divide(X0,X0) = divide(sF1,divide(divide(divide(X2,divide(X3,X1)),inverse(X3)),divide(X2,inverse(X1)))),
    inference(superposition,[],[f10,f1]) ).

fof(f61,plain,
    ! [X0] : sF3 = divide(divide(X0,X0),divide(sF2,divide(sF1,inverse(sF1)))),
    inference(superposition,[],[f12,f27]) ).

fof(f12,plain,
    ! [X0,X1] : divide(divide(X0,X0),divide(sF2,divide(divide(X1,sF3),inverse(sF1)))) = X1,
    inference(superposition,[],[f1,f8]) ).

fof(f189,plain,
    a2 = divide(sF1,divide(sF2,divide(sF1,inverse(sF1)))),
    inference(forward_demodulation,[],[f184,f27]) ).

fof(f184,plain,
    ! [X0] : a2 = divide(divide(X0,X0),divide(sF2,divide(sF1,inverse(sF1)))),
    inference(superposition,[],[f12,f174]) ).

fof(f174,plain,
    sF1 = divide(a2,sF3),
    inference(forward_demodulation,[],[f167,f27]) ).

fof(f167,plain,
    divide(sF1,sF1) = divide(a2,sF3),
    inference(superposition,[],[f150,f27]) ).

fof(f150,plain,
    ! [X0] : divide(a2,X0) = divide(sF1,divide(X0,sF3)),
    inference(forward_demodulation,[],[f149,f27]) ).

fof(f149,plain,
    ! [X0,X1] : divide(a2,X0) = divide(divide(X1,X1),divide(X0,sF3)),
    inference(forward_demodulation,[],[f138,f8]) ).

fof(f138,plain,
    ! [X0,X1] : divide(a2,X0) = divide(divide(X1,X1),divide(X0,divide(sF1,sF2))),
    inference(superposition,[],[f16,f27]) ).

fof(f16,plain,
    ! [X2,X0,X1] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(a2,X1)),sF2))) = X2,
    inference(superposition,[],[f1,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP467-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.15  % 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
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:44:40 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  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.KY9BtBUKSM/Vampire---4.8_7358
% 0.53/0.74  % (7625)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)
% 0.59/0.74  % (7625)Refutation not found, incomplete strategy% (7625)------------------------------
% 0.59/0.74  % (7625)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (7625)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7625)Memory used [KB]: 949
% 0.59/0.74  % (7625)Time elapsed: 0.002 s
% 0.59/0.74  % (7625)Instructions burned: 2 (million)
% 0.59/0.74  % (7625)------------------------------
% 0.59/0.74  % (7625)------------------------------
% 0.59/0.74  % (7620)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)
% 0.59/0.74  % (7622)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)
% 0.59/0.74  % (7623)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)
% 0.59/0.74  % (7621)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (7619)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)
% 0.59/0.74  % (7622)Refutation not found, incomplete strategy% (7622)------------------------------
% 0.59/0.74  % (7622)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (7622)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7622)Memory used [KB]: 946
% 0.59/0.74  % (7622)Time elapsed: 0.002 s
% 0.59/0.74  % (7622)Instructions burned: 2 (million)
% 0.59/0.74  % (7622)------------------------------
% 0.59/0.74  % (7622)------------------------------
% 0.59/0.74  % (7623)Refutation not found, incomplete strategy% (7623)------------------------------
% 0.59/0.74  % (7623)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (7623)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7623)Memory used [KB]: 961
% 0.59/0.74  % (7623)Time elapsed: 0.002 s
% 0.59/0.74  % (7623)Instructions burned: 2 (million)
% 0.59/0.74  % (7623)------------------------------
% 0.59/0.74  % (7623)------------------------------
% 0.59/0.74  % (7619)Refutation not found, incomplete strategy% (7619)------------------------------
% 0.59/0.74  % (7619)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (7619)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7619)Memory used [KB]: 962
% 0.59/0.74  % (7619)Time elapsed: 0.003 s
% 0.59/0.74  % (7619)Instructions burned: 2 (million)
% 0.59/0.74  % (7619)------------------------------
% 0.59/0.74  % (7619)------------------------------
% 0.59/0.74  % (7624)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)
% 0.59/0.74  % (7627)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)
% 0.59/0.74  % (7624)Refutation not found, incomplete strategy% (7624)------------------------------
% 0.59/0.74  % (7624)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (7624)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7624)Memory used [KB]: 948
% 0.59/0.74  % (7624)Time elapsed: 0.003 s
% 0.59/0.74  % (7624)Instructions burned: 2 (million)
% 0.59/0.74  % (7624)------------------------------
% 0.59/0.74  % (7624)------------------------------
% 0.59/0.74  % (7626)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)
% 0.59/0.74  % (7626)Refutation not found, incomplete strategy% (7626)------------------------------
% 0.59/0.74  % (7626)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (7626)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7626)Memory used [KB]: 947
% 0.59/0.74  % (7626)Time elapsed: 0.003 s
% 0.59/0.74  % (7626)Instructions burned: 2 (million)
% 0.59/0.74  % (7626)------------------------------
% 0.59/0.74  % (7626)------------------------------
% 0.59/0.75  % (7628)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  % (7629)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  % (7630)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  % (7628)Refutation not found, incomplete strategy% (7628)------------------------------
% 0.59/0.75  % (7628)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7628)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7628)Memory used [KB]: 947
% 0.59/0.75  % (7628)Time elapsed: 0.002 s
% 0.59/0.75  % (7628)Instructions burned: 2 (million)
% 0.59/0.75  % (7628)------------------------------
% 0.59/0.75  % (7628)------------------------------
% 0.59/0.75  % (7631)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  % (7631)Refutation not found, incomplete strategy% (7631)------------------------------
% 0.59/0.75  % (7631)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7631)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7631)Memory used [KB]: 948
% 0.59/0.75  % (7631)Time elapsed: 0.003 s
% 0.59/0.75  % (7631)Instructions burned: 2 (million)
% 0.59/0.75  % (7631)------------------------------
% 0.59/0.75  % (7631)------------------------------
% 0.59/0.75  % (7633)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  % (7632)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  % (7632)Refutation not found, incomplete strategy% (7632)------------------------------
% 0.59/0.75  % (7632)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (7632)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7632)Memory used [KB]: 945
% 0.59/0.75  % (7632)Time elapsed: 0.003 s
% 0.59/0.75  % (7632)Instructions burned: 2 (million)
% 0.59/0.75  % (7632)------------------------------
% 0.59/0.75  % (7632)------------------------------
% 0.59/0.76  % (7634)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)
% 0.59/0.76  % (7634)Refutation not found, incomplete strategy% (7634)------------------------------
% 0.59/0.76  % (7634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (7634)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (7634)Memory used [KB]: 948
% 0.59/0.76  % (7634)Time elapsed: 0.003 s
% 0.59/0.76  % (7634)Instructions burned: 2 (million)
% 0.59/0.76  % (7634)------------------------------
% 0.59/0.76  % (7634)------------------------------
% 0.59/0.76  % (7629)First to succeed.
% 0.59/0.76  % (7629)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (7629)------------------------------
% 0.59/0.76  % (7629)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (7629)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (7629)Memory used [KB]: 1168
% 0.59/0.76  % (7629)Time elapsed: 0.013 s
% 0.59/0.76  % (7629)Instructions burned: 23 (million)
% 0.59/0.76  % (7629)------------------------------
% 0.59/0.76  % (7629)------------------------------
% 0.59/0.76  % (7615)Success in time 0.384 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------