TSTP Solution File: GRP125-1.003 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP125-1.003 : TPTP v8.2.0. Released v1.2.0.
% 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 : n026.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 : Mon May 20 21:06:44 EDT 2024

% Result   : Unsatisfiable 0.47s 0.68s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   20 (  15 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   31 (  19   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f99,plain,
    $false,
    inference(subsumption_resolution,[],[f98,f69]) ).

fof(f69,plain,
    product(e_2,e_1,e_3),
    inference(unit_resulting_resolution,[],[f2,f1,f48,f37,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).

fof(f37,plain,
    ~ product(e_2,e_1,e_2),
    inference(unit_resulting_resolution,[],[f6,f14,f12]) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X2,X1)
      | ~ product(X0,X3,X1)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).

fof(f14,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).

fof(f6,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f48,plain,
    ~ product(e_2,e_1,e_1),
    inference(unit_resulting_resolution,[],[f4,f14,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X2,X1,X0)
      | ~ product(X3,X1,X0)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f4,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

fof(f1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).

fof(f2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

fof(f98,plain,
    ~ product(e_2,e_1,e_3),
    inference(unit_resulting_resolution,[],[f27,f68,f15]) ).

fof(f15,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X1,X0,X5)
      | product(X4,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).

fof(f68,plain,
    product(e_1,e_2,e_3),
    inference(unit_resulting_resolution,[],[f1,f2,f35,f50,f10]) ).

fof(f50,plain,
    ~ product(e_1,e_2,e_2),
    inference(unit_resulting_resolution,[],[f6,f14,f13]) ).

fof(f35,plain,
    ~ product(e_1,e_2,e_1),
    inference(unit_resulting_resolution,[],[f4,f14,f12]) ).

fof(f27,plain,
    ~ product(e_3,e_3,e_2),
    inference(unit_resulting_resolution,[],[f9,f14,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).

fof(f9,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GRP125-1.003 : TPTP v8.2.0. Released v1.2.0.
% 0.10/0.11  % 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
% 0.11/0.30  % Computer : n026.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Sun May 19 05:16:23 EDT 2024
% 0.15/0.31  % CPUTime    : 
% 0.15/0.31  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.15/0.31  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/benchmark/theBenchmark.p
% 0.47/0.68  % (31874)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.47/0.68  % (31874)Refutation not found, incomplete strategy% (31874)------------------------------
% 0.47/0.68  % (31874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (31874)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (31874)Memory used [KB]: 947
% 0.47/0.68  % (31874)Time elapsed: 0.001 s
% 0.47/0.68  % (31874)Instructions burned: 2 (million)
% 0.47/0.68  % (31874)------------------------------
% 0.47/0.68  % (31874)------------------------------
% 0.47/0.68  % (31867)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 theBenchmark for (2996ds/34Mi)
% 0.47/0.68  % (31869)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.68  % (31870)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.47/0.68  % (31868)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 theBenchmark for (2996ds/51Mi)
% 0.47/0.68  % (31872)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.47/0.68  % (31871)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 theBenchmark for (2996ds/34Mi)
% 0.47/0.68  % (31873)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 theBenchmark for (2996ds/83Mi)
% 0.47/0.68  % (31867)Refutation not found, incomplete strategy% (31867)------------------------------
% 0.47/0.68  % (31867)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (31867)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  % (31872)Refutation not found, incomplete strategy% (31872)------------------------------
% 0.47/0.68  % (31872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (31872)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (31872)Memory used [KB]: 947
% 0.47/0.68  % (31872)Time elapsed: 0.002 s
% 0.47/0.68  % (31872)Instructions burned: 2 (million)
% 0.47/0.68  
% 0.47/0.68  % (31867)Memory used [KB]: 959
% 0.47/0.68  % (31867)Time elapsed: 0.002 s
% 0.47/0.68  % (31867)Instructions burned: 2 (million)
% 0.47/0.68  % (31870)Refutation not found, incomplete strategy% (31870)------------------------------
% 0.47/0.68  % (31870)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (31870)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (31870)Memory used [KB]: 963
% 0.47/0.68  % (31872)------------------------------
% 0.47/0.68  % (31872)------------------------------
% 0.47/0.68  % (31870)Time elapsed: 0.002 s
% 0.47/0.68  % (31870)Instructions burned: 2 (million)
% 0.47/0.68  % (31867)------------------------------
% 0.47/0.68  % (31867)------------------------------
% 0.47/0.68  % (31870)------------------------------
% 0.47/0.68  % (31870)------------------------------
% 0.47/0.68  % (31875)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 theBenchmark for (2996ds/55Mi)
% 0.47/0.68  % (31875)First to succeed.
% 0.47/0.68  % (31875)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31706"
% 0.47/0.68  % (31875)Refutation found. Thanks to Tanya!
% 0.47/0.68  % SZS status Unsatisfiable for theBenchmark
% 0.47/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.69  % (31875)------------------------------
% 0.47/0.69  % (31875)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (31875)Termination reason: Refutation
% 0.47/0.69  
% 0.47/0.69  % (31875)Memory used [KB]: 978
% 0.47/0.69  % (31875)Time elapsed: 0.002 s
% 0.47/0.69  % (31875)Instructions burned: 4 (million)
% 0.47/0.69  % (31706)Success in time 0.37 s
% 0.47/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------