TSTP Solution File: GRP565-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP565-1 : 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 : 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 : Wed May  1 02:30:13 EDT 2024

% Result   : Unsatisfiable 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   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    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,plain,
    $false,
    inference(trivial_inequality_removal,[],[f41]) ).

fof(f41,plain,
    identity != identity,
    inference(superposition,[],[f8,f27]) ).

fof(f27,plain,
    identity = double_divide(identity,identity),
    inference(forward_demodulation,[],[f19,f15]) ).

fof(f15,plain,
    ! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
    inference(forward_demodulation,[],[f11,f6]) ).

fof(f6,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox/tmp/tmp.DuDPNhSy0j/Vampire---4.8_2420',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox/tmp/tmp.DuDPNhSy0j/Vampire---4.8_2420',identity) ).

fof(f11,plain,
    ! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.DuDPNhSy0j/Vampire---4.8_2420',single_axiom) ).

fof(f19,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
    inference(superposition,[],[f16,f6]) ).

fof(f16,plain,
    ! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
    inference(superposition,[],[f1,f15]) ).

fof(f8,plain,
    identity != double_divide(identity,identity),
    inference(forward_demodulation,[],[f7,f6]) ).

fof(f7,plain,
    identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
    inference(definition_unfolding,[],[f5,f2,f3]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    file('/export/starexec/sandbox/tmp/tmp.DuDPNhSy0j/Vampire---4.8_2420',multiply) ).

fof(f5,axiom,
    identity != multiply(inverse(a1),a1),
    file('/export/starexec/sandbox/tmp/tmp.DuDPNhSy0j/Vampire---4.8_2420',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP565-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n006.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:23:20 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.36  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.DuDPNhSy0j/Vampire---4.8_2420
% 0.60/0.75  % (2682)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)
% 0.60/0.76  % (2682)Refutation not found, incomplete strategy% (2682)------------------------------
% 0.60/0.76  % (2682)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (2682)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (2682)Memory used [KB]: 950
% 0.60/0.76  % (2682)Time elapsed: 0.002 s
% 0.60/0.76  % (2682)Instructions burned: 2 (million)
% 0.60/0.76  % (2682)------------------------------
% 0.60/0.76  % (2682)------------------------------
% 0.60/0.76  % (2676)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)
% 0.60/0.76  % (2683)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)
% 0.60/0.76  % (2677)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)
% 0.60/0.76  % (2679)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)
% 0.60/0.76  % (2680)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)
% 0.60/0.76  % (2678)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (2681)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)
% 0.60/0.76  % (2683)Refutation not found, incomplete strategy% (2683)------------------------------
% 0.60/0.76  % (2683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (2683)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (2683)Memory used [KB]: 948
% 0.60/0.76  % (2683)Time elapsed: 0.002 s
% 0.60/0.76  % (2683)Instructions burned: 2 (million)
% 0.60/0.76  % (2683)------------------------------
% 0.60/0.76  % (2683)------------------------------
% 0.60/0.76  % (2680)Refutation not found, incomplete strategy% (2680)------------------------------
% 0.60/0.76  % (2680)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (2680)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (2680)Memory used [KB]: 961
% 0.60/0.76  % (2680)Time elapsed: 0.002 s
% 0.60/0.76  % (2680)Instructions burned: 2 (million)
% 0.60/0.76  % (2680)------------------------------
% 0.60/0.76  % (2680)------------------------------
% 0.60/0.76  % (2679)Refutation not found, incomplete strategy% (2679)------------------------------
% 0.60/0.76  % (2679)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (2679)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (2679)Memory used [KB]: 957
% 0.60/0.76  % (2679)Time elapsed: 0.002 s
% 0.60/0.76  % (2679)Instructions burned: 2 (million)
% 0.60/0.76  % (2676)Refutation not found, incomplete strategy% (2676)------------------------------
% 0.60/0.76  % (2676)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (2679)------------------------------
% 0.60/0.76  % (2679)------------------------------
% 0.60/0.76  % (2676)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (2676)Memory used [KB]: 963
% 0.60/0.76  % (2676)Time elapsed: 0.002 s
% 0.60/0.76  % (2676)Instructions burned: 2 (million)
% 0.60/0.76  % (2676)------------------------------
% 0.60/0.76  % (2676)------------------------------
% 0.60/0.76  % (2681)Refutation not found, incomplete strategy% (2681)------------------------------
% 0.60/0.76  % (2681)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (2681)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (2681)Memory used [KB]: 949
% 0.60/0.76  % (2681)Time elapsed: 0.002 s
% 0.60/0.76  % (2681)Instructions burned: 2 (million)
% 0.60/0.76  % (2681)------------------------------
% 0.60/0.76  % (2681)------------------------------
% 0.60/0.76  % (2677)First to succeed.
% 0.60/0.76  % (2677)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (2677)------------------------------
% 0.60/0.76  % (2677)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (2677)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (2677)Memory used [KB]: 1037
% 0.60/0.76  % (2677)Time elapsed: 0.004 s
% 0.60/0.76  % (2677)Instructions burned: 4 (million)
% 0.60/0.76  % (2677)------------------------------
% 0.60/0.76  % (2677)------------------------------
% 0.60/0.76  % (2672)Success in time 0.386 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------