TSTP Solution File: GRP123-9.003 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP123-9.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n008.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 02:27:13 EDT 2024

% Result   : Unsatisfiable 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (  16 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   66 (  34   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f229,plain,
    $false,
    inference(subsumption_resolution,[],[f224,f109]) ).

fof(f109,plain,
    product1(e_1,e_3,e_2),
    inference(subsumption_resolution,[],[f108,f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ product1(X0,e_3,e_1)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[],[f31,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4,X5] :
      ( product2(X5,X0,X1)
      | ~ product1(X4,X1,X5)
      | ~ product1(X0,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',qg1a) ).

fof(f31,plain,
    ~ product2(e_1,e_1,e_3),
    inference(unit_resulting_resolution,[],[f7,f16,f16,f24]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product2(X2,X3,X4)
      | ~ product1(X3,X1,X0)
      | ~ product1(X0,X1,X2)
      | equalish(X1,X4) ),
    inference(resolution,[],[f22,f18]) ).

fof(f18,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product2(X0,X1,X2)
      | ~ product2(X0,X1,X3)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',product2_total_function2) ).

fof(f16,axiom,
    ! [X0] : product1(X0,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',product1_idempotence) ).

fof(f7,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',e_1_is_not_e_3) ).

fof(f108,plain,
    ( product1(e_1,e_3,e_2)
    | product1(e_1,e_3,e_1) ),
    inference(subsumption_resolution,[],[f107,f3]) ).

fof(f3,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',element_1) ).

fof(f107,plain,
    ( product1(e_1,e_3,e_2)
    | product1(e_1,e_3,e_1)
    | ~ group_element(e_1) ),
    inference(subsumption_resolution,[],[f106,f5]) ).

fof(f5,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',element_3) ).

fof(f106,plain,
    ( product1(e_1,e_3,e_2)
    | product1(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1) ),
    inference(resolution,[],[f48,f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( product1(X0,X1,e_3)
      | product1(X0,X1,e_2)
      | product1(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',product1_total_function1) ).

fof(f48,plain,
    ~ product1(e_1,e_3,e_3),
    inference(unit_resulting_resolution,[],[f7,f16,f21,f25]) ).

fof(f25,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product2(X2,X4,X1)
      | ~ product1(X3,X1,X0)
      | ~ product1(X0,X1,X2)
      | equalish(X3,X4) ),
    inference(resolution,[],[f22,f19]) ).

fof(f19,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product2(X0,X2,X1)
      | ~ product2(X0,X3,X1)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',product2_right_cancellation) ).

fof(f21,axiom,
    ! [X0] : product2(X0,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',product2_idempotence) ).

fof(f224,plain,
    ~ product1(e_1,e_3,e_2),
    inference(unit_resulting_resolution,[],[f10,f105,f34]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ product1(X2,X1,X0)
      | ~ product1(X0,X1,X2)
      | equalish(X1,X0) ),
    inference(resolution,[],[f24,f21]) ).

fof(f105,plain,
    product1(e_2,e_3,e_1),
    inference(subsumption_resolution,[],[f104,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ product1(X0,e_3,e_2)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[],[f29,f22]) ).

fof(f29,plain,
    ~ product2(e_2,e_2,e_3),
    inference(unit_resulting_resolution,[],[f9,f16,f16,f24]) ).

fof(f9,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',e_2_is_not_e_3) ).

fof(f104,plain,
    ( product1(e_2,e_3,e_2)
    | product1(e_2,e_3,e_1) ),
    inference(subsumption_resolution,[],[f103,f4]) ).

fof(f4,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',element_2) ).

fof(f103,plain,
    ( product1(e_2,e_3,e_2)
    | product1(e_2,e_3,e_1)
    | ~ group_element(e_2) ),
    inference(subsumption_resolution,[],[f102,f5]) ).

fof(f102,plain,
    ( product1(e_2,e_3,e_2)
    | product1(e_2,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_2) ),
    inference(resolution,[],[f46,f12]) ).

fof(f46,plain,
    ~ product1(e_2,e_3,e_3),
    inference(unit_resulting_resolution,[],[f9,f16,f21,f25]) ).

fof(f10,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742',e_3_is_not_e_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP123-9.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n008.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 18:23:12 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.14/0.36  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.5W8idsJNJc/Vampire---4.8_22742
% 0.58/0.75  % (23002)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)
% 0.58/0.75  % (22996)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)
% 0.58/0.75  % (22998)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (22997)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)
% 0.58/0.75  % (23000)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)
% 0.58/0.75  % (22999)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)
% 0.58/0.75  % (23001)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)
% 0.58/0.75  % (22996)Refutation not found, incomplete strategy% (22996)------------------------------
% 0.58/0.75  % (22996)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (22996)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (22996)Memory used [KB]: 949
% 0.58/0.75  % (22996)Time elapsed: 0.002 s
% 0.58/0.75  % (22996)Instructions burned: 2 (million)
% 0.58/0.75  % (22996)------------------------------
% 0.58/0.75  % (22996)------------------------------
% 0.58/0.75  % (22999)Refutation not found, incomplete strategy% (22999)------------------------------
% 0.58/0.75  % (22999)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (22999)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (22999)Memory used [KB]: 949
% 0.58/0.75  % (22999)Time elapsed: 0.002 s
% 0.58/0.75  % (22999)Instructions burned: 2 (million)
% 0.58/0.75  % (22999)------------------------------
% 0.58/0.75  % (22999)------------------------------
% 0.58/0.75  % (23002)First to succeed.
% 0.58/0.75  % (23002)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (23002)------------------------------
% 0.58/0.75  % (23002)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (23002)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (23002)Memory used [KB]: 1062
% 0.58/0.75  % (23002)Time elapsed: 0.004 s
% 0.58/0.75  % (23002)Instructions burned: 10 (million)
% 0.58/0.75  % (23002)------------------------------
% 0.58/0.75  % (23002)------------------------------
% 0.58/0.75  % (22992)Success in time 0.387 s
% 0.58/0.75  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.58/0.75  22992 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.5W8idsJNJc/Vampire---4.8_22742
% 0.58/0.75  % (22992)------------------------------
% 0.58/0.75  % (22992)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (22992)Termination reason: Unknown
% 0.58/0.75  % (22992)Termination phase: Unknown
% 0.58/0.75  
% 0.58/0.75  % (22992)Memory used [KB]: 445
% 0.58/0.75  % (22992)Time elapsed: 0.387 s
% 0.58/0.75  % (22992)Instructions burned: 953 (million)
% 0.58/0.75  % (22992)------------------------------
% 0.58/0.75  % (22992)------------------------------
% 0.58/0.75  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  ???
% 0.58/0.75   ???
% 0.58/0.75    ???
% 0.58/0.75     ???
% 0.58/0.75      ???
% 0.58/0.75       ???
% 0.58/0.75        ???
% 0.58/0.75         ???
% 0.58/0.75          ???
% 0.58/0.75           ???
% 0.58/0.75            ???
% 0.58/0.75             ???
% 0.58/0.75              ???
% 0.58/0.75               ???
% 0.58/0.75                ???
% 0.58/0.75                 ???
% 0.58/0.75                  ???
% 0.58/0.75                   ???
% 0.58/0.75                    ???
% 0.58/0.75                     ???
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------