TSTP Solution File: GRP029-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP029-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n011.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 02:25:59 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   25 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f174,plain,
    $false,
    inference(resolution,[],[f141,f7]) ).

fof(f7,axiom,
    ! [X6] : ~ product(not_right_identity(X6),X6,not_right_identity(X6)),
    file('/export/starexec/sandbox/tmp/tmp.44FjZGLZXo/Vampire---4.8_29689',prove_there_is_a_right_identity) ).

fof(f141,plain,
    ! [X0] : product(X0,identity,X0),
    inference(superposition,[],[f42,f128]) ).

fof(f128,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(resolution,[],[f120,f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ product(inverse(inverse(X1)),identity,X0)
      | X0 = X1 ),
    inference(resolution,[],[f42,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | X2 = X3
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.44FjZGLZXo/Vampire---4.8_29689',total_function2) ).

fof(f120,plain,
    ! [X0] : product(inverse(inverse(inverse(inverse(X0)))),identity,X0),
    inference(resolution,[],[f112,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ product(X0,inverse(X1),identity)
      | product(X0,identity,X1) ),
    inference(resolution,[],[f14,f6]) ).

fof(f6,axiom,
    ! [X6] : product(inverse(X6),X6,identity),
    file('/export/starexec/sandbox/tmp/tmp.44FjZGLZXo/Vampire---4.8_29689',left_inverse) ).

fof(f14,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X2,X1)
      | product(X0,X1,X2)
      | ~ product(X0,X3,identity) ),
    inference(resolution,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X6] : product(identity,X6,X6),
    file('/export/starexec/sandbox/tmp/tmp.44FjZGLZXo/Vampire---4.8_29689',left_identity) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X2,X3)
      | product(X0,X5,X3)
      | ~ product(X1,X2,X5)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.44FjZGLZXo/Vampire---4.8_29689',associativity1) ).

fof(f112,plain,
    ! [X0] : product(inverse(inverse(inverse(X0))),X0,identity),
    inference(resolution,[],[f44,f6]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ product(X0,inverse(inverse(X1)),identity)
      | product(X0,X1,identity) ),
    inference(resolution,[],[f42,f14]) ).

fof(f42,plain,
    ! [X0] : product(inverse(inverse(X0)),identity,X0),
    inference(resolution,[],[f27,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP029-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % 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
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 18:33:16 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.13/0.36  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.44FjZGLZXo/Vampire---4.8_29689
% 0.56/0.75  % (29945)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)
% 0.56/0.75  % (29945)Refutation not found, incomplete strategy% (29945)------------------------------
% 0.56/0.75  % (29945)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (29945)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (29945)Memory used [KB]: 959
% 0.56/0.75  % (29945)Time elapsed: 0.002 s
% 0.56/0.75  % (29945)Instructions burned: 2 (million)
% 0.56/0.75  % (29945)------------------------------
% 0.56/0.75  % (29945)------------------------------
% 0.56/0.75  % (29939)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)
% 0.56/0.75  % (29940)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)
% 0.56/0.75  % (29942)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)
% 0.56/0.75  % (29941)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (29943)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)
% 0.56/0.75  % (29944)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)
% 0.56/0.75  % (29942)Refutation not found, incomplete strategy% (29942)------------------------------
% 0.56/0.75  % (29942)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (29942)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (29942)Memory used [KB]: 969
% 0.56/0.75  % (29942)Time elapsed: 0.002 s
% 0.56/0.75  % (29942)Instructions burned: 2 (million)
% 0.56/0.75  % (29942)------------------------------
% 0.56/0.75  % (29942)------------------------------
% 0.56/0.75  % (29946)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)
% 0.56/0.75  % (29940)First to succeed.
% 0.56/0.76  % (29948)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)
% 0.56/0.76  % (29940)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (29940)------------------------------
% 0.56/0.76  % (29940)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (29940)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (29940)Memory used [KB]: 1061
% 0.56/0.76  % (29940)Time elapsed: 0.007 s
% 0.56/0.76  % (29940)Instructions burned: 8 (million)
% 0.56/0.76  % (29940)------------------------------
% 0.56/0.76  % (29940)------------------------------
% 0.56/0.76  % (29935)Success in time 0.392 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------