TSTP Solution File: GRP461-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP461-1 : 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 : n028.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 02:29:32 EDT 2024

% Result   : Unsatisfiable 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  17 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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f8]) ).

fof(f8,plain,
    sP0(a2),
    inference(inequality_splitting,[],[f6,f7]) ).

fof(f7,plain,
    ~ sP0(divide(identity,divide(identity,a2))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f6,plain,
    a2 != divide(identity,divide(identity,a2)),
    inference(definition_unfolding,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.OeSvvFcZY9/Vampire---4.8_16859',multiply) ).

fof(f5,axiom,
    a2 != multiply(identity,a2),
    file('/export/starexec/sandbox2/tmp/tmp.OeSvvFcZY9/Vampire---4.8_16859',prove_these_axioms_2) ).

fof(f48,plain,
    ~ sP0(a2),
    inference(backward_demodulation,[],[f7,f46]) ).

fof(f46,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(backward_demodulation,[],[f14,f44]) ).

fof(f44,plain,
    ! [X0,X1] : divide(identity,X0) = divide(divide(divide(identity,X0),X1),divide(identity,X1)),
    inference(backward_demodulation,[],[f41,f43]) ).

fof(f43,plain,
    ! [X0,X1] : divide(identity,X0) = divide(X1,divide(X0,divide(identity,X1))),
    inference(forward_demodulation,[],[f42,f18]) ).

fof(f18,plain,
    ! [X0] : divide(X0,identity) = X0,
    inference(superposition,[],[f9,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.OeSvvFcZY9/Vampire---4.8_16859',identity) ).

fof(f9,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
    inference(backward_demodulation,[],[f1,f4]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.OeSvvFcZY9/Vampire---4.8_16859',single_axiom) ).

fof(f42,plain,
    ! [X0,X1] : divide(divide(identity,X0),identity) = divide(X1,divide(X0,divide(identity,X1))),
    inference(forward_demodulation,[],[f30,f4]) ).

fof(f30,plain,
    ! [X0,X1] : divide(divide(identity,X0),divide(identity,identity)) = divide(X1,divide(X0,divide(identity,X1))),
    inference(superposition,[],[f21,f21]) ).

fof(f21,plain,
    ! [X0,X1] : divide(X0,divide(divide(identity,X1),divide(identity,X0))) = X1,
    inference(backward_demodulation,[],[f16,f18]) ).

fof(f16,plain,
    ! [X0,X1] : divide(X0,divide(divide(divide(identity,X1),divide(identity,X0)),identity)) = X1,
    inference(superposition,[],[f9,f4]) ).

fof(f41,plain,
    ! [X2,X0,X1] : divide(divide(divide(identity,X0),X1),divide(identity,X1)) = divide(X2,divide(X0,divide(identity,X2))),
    inference(forward_demodulation,[],[f29,f4]) ).

fof(f29,plain,
    ! [X2,X0,X1] : divide(divide(divide(identity,X0),X1),divide(divide(identity,identity),X1)) = divide(X2,divide(X0,divide(identity,X2))),
    inference(superposition,[],[f21,f9]) ).

fof(f14,plain,
    ! [X0,X1] : divide(identity,divide(divide(divide(identity,X0),X1),divide(identity,X1))) = X0,
    inference(superposition,[],[f9,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP461-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.15  % 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
% 0.15/0.36  % Computer : n028.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 18:42:45 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.OeSvvFcZY9/Vampire---4.8_16859
% 0.57/0.75  % (17077)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)
% 0.57/0.75  % (17080)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)
% 0.57/0.75  % (17080)Refutation not found, incomplete strategy% (17080)------------------------------
% 0.57/0.75  % (17080)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (17080)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (17080)Memory used [KB]: 948
% 0.57/0.75  % (17080)Time elapsed: 0.001 s
% 0.57/0.75  % (17080)Instructions burned: 2 (million)
% 0.57/0.75  % (17080)------------------------------
% 0.57/0.75  % (17080)------------------------------
% 0.57/0.75  % (17077)Refutation not found, incomplete strategy% (17077)------------------------------
% 0.57/0.75  % (17077)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (17077)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (17077)Memory used [KB]: 950
% 0.57/0.75  % (17077)Time elapsed: 0.002 s
% 0.57/0.75  % (17077)Instructions burned: 2 (million)
% 0.57/0.75  % (17077)------------------------------
% 0.57/0.75  % (17077)------------------------------
% 0.57/0.75  % (17072)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)
% 0.57/0.75  % (17073)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)
% 0.57/0.75  % (17075)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)
% 0.57/0.75  % (17074)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (17076)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)
% 0.57/0.75  % (17079)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)
% 0.57/0.75  % (17075)Refutation not found, incomplete strategy% (17075)------------------------------
% 0.57/0.75  % (17075)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (17075)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (17072)Refutation not found, incomplete strategy% (17072)------------------------------
% 0.57/0.75  % (17072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (17072)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (17072)Memory used [KB]: 963
% 0.57/0.75  % (17072)Time elapsed: 0.002 s
% 0.57/0.75  % (17072)Instructions burned: 2 (million)
% 0.57/0.75  % (17072)------------------------------
% 0.57/0.75  % (17072)------------------------------
% 0.57/0.75  % (17075)Memory used [KB]: 947
% 0.57/0.75  % (17075)Time elapsed: 0.002 s
% 0.57/0.75  % (17075)Instructions burned: 2 (million)
% 0.57/0.75  % (17076)Refutation not found, incomplete strategy% (17076)------------------------------
% 0.57/0.75  % (17076)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (17076)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (17076)Memory used [KB]: 961
% 0.57/0.75  % (17076)Time elapsed: 0.002 s
% 0.57/0.75  % (17076)Instructions burned: 2 (million)
% 0.57/0.75  % (17076)------------------------------
% 0.57/0.75  % (17076)------------------------------
% 0.57/0.75  % (17075)------------------------------
% 0.57/0.75  % (17075)------------------------------
% 0.57/0.75  % (17079)Refutation not found, incomplete strategy% (17079)------------------------------
% 0.57/0.75  % (17079)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (17079)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (17079)Memory used [KB]: 949
% 0.57/0.75  % (17079)Time elapsed: 0.002 s
% 0.57/0.75  % (17079)Instructions burned: 2 (million)
% 0.57/0.75  % (17079)------------------------------
% 0.57/0.75  % (17079)------------------------------
% 0.57/0.75  % (17083)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)
% 0.57/0.75  % (17084)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)
% 0.57/0.75  % (17084)Refutation not found, incomplete strategy% (17084)------------------------------
% 0.57/0.75  % (17084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (17084)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (17084)Memory used [KB]: 946
% 0.57/0.75  % (17084)Time elapsed: 0.001 s
% 0.57/0.75  % (17084)Instructions burned: 2 (million)
% 0.57/0.75  % (17084)------------------------------
% 0.57/0.75  % (17084)------------------------------
% 0.57/0.75  % (17083)First to succeed.
% 0.57/0.75  % (17074)Also succeeded, but the first one will report.
% 0.57/0.75  % (17083)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (17083)------------------------------
% 0.57/0.75  % (17083)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (17083)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (17083)Memory used [KB]: 1047
% 0.57/0.75  % (17083)Time elapsed: 0.003 s
% 0.57/0.75  % (17083)Instructions burned: 6 (million)
% 0.57/0.75  % (17083)------------------------------
% 0.57/0.75  % (17083)------------------------------
% 0.57/0.75  % (17047)Success in time 0.385 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------