TSTP Solution File: GRP126-2.004 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP126-2.004 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 : Sun May  5 05:46:07 EDT 2024

% Result   : Unsatisfiable 0.63s 0.82s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   34 (  28 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   45 (  30   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f234,plain,
    $false,
    inference(subsumption_resolution,[],[f227,f205]) ).

fof(f205,plain,
    product(e_3,e_4,e_1),
    inference(unit_resulting_resolution,[],[f139,f173,f32]) ).

fof(f32,axiom,
    ! [X0,X1,X6,X5] :
      ( ~ product(X0,X1,X5)
      | ~ product(X1,X0,X6)
      | product(X5,X6,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',qg4) ).

fof(f173,plain,
    product(e_1,e_2,e_4),
    inference(unit_resulting_resolution,[],[f11,f12,f74,f102,f172,f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( product(X0,X1,e_4)
      | product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',product_total_function1) ).

fof(f172,plain,
    ~ product(e_1,e_2,e_3),
    inference(unit_resulting_resolution,[],[f56,f139,f32]) ).

fof(f56,plain,
    ~ product(e_3,e_3,e_2),
    inference(unit_resulting_resolution,[],[f22,f31,f28]) ).

fof(f28,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product(X0,X1,X3)
      | ~ product(X0,X1,X4)
      | equalish(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',product_total_function2) ).

fof(f31,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',product_idempotence) ).

fof(f22,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',e_3_is_not_e_2) ).

fof(f102,plain,
    ~ product(e_1,e_2,e_2),
    inference(unit_resulting_resolution,[],[f18,f31,f30]) ).

fof(f30,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product(X3,X1,X0)
      | ~ product(X4,X1,X0)
      | equalish(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',product_left_cancellation) ).

fof(f18,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',e_2_is_not_e_1) ).

fof(f74,plain,
    ~ product(e_1,e_2,e_1),
    inference(unit_resulting_resolution,[],[f15,f31,f29]) ).

fof(f29,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product(X0,X3,X1)
      | ~ product(X0,X4,X1)
      | equalish(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',product_right_cancellation) ).

fof(f15,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',e_1_is_not_e_2) ).

fof(f12,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',element_2) ).

fof(f11,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',element_1) ).

fof(f139,plain,
    product(e_2,e_1,e_3),
    inference(unit_resulting_resolution,[],[f12,f11,f99,f77,f35,f27]) ).

fof(f35,plain,
    ~ product(e_2,e_1,e_4),
    inference(unit_resulting_resolution,[],[f9,f2,f10]) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ product(X0,e_1,X1)
      | ~ next(X0,X2)
      | ~ greater(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',no_redundancy) ).

fof(f2,axiom,
    next(e_2,e_3),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',e_2_then_e_3) ).

fof(f9,axiom,
    greater(e_4,e_3),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',e_4_greater_e_3) ).

fof(f77,plain,
    ~ product(e_2,e_1,e_2),
    inference(unit_resulting_resolution,[],[f18,f31,f29]) ).

fof(f99,plain,
    ~ product(e_2,e_1,e_1),
    inference(unit_resulting_resolution,[],[f15,f31,f30]) ).

fof(f227,plain,
    ~ product(e_3,e_4,e_1),
    inference(unit_resulting_resolution,[],[f22,f174,f30]) ).

fof(f174,plain,
    product(e_2,e_4,e_1),
    inference(unit_resulting_resolution,[],[f12,f14,f79,f109,f159,f27]) ).

fof(f159,plain,
    ~ product(e_2,e_4,e_3),
    inference(unit_resulting_resolution,[],[f24,f139,f29]) ).

fof(f24,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',e_4_is_not_e_1) ).

fof(f109,plain,
    ~ product(e_2,e_4,e_4),
    inference(unit_resulting_resolution,[],[f25,f31,f30]) ).

fof(f25,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',e_4_is_not_e_2) ).

fof(f79,plain,
    ~ product(e_2,e_4,e_2),
    inference(unit_resulting_resolution,[],[f20,f31,f29]) ).

fof(f20,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',e_2_is_not_e_4) ).

fof(f14,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox/tmp/tmp.jxl7UJN3Uq/Vampire---4.8_32010',element_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : GRP126-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13  % 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
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 20:46:52 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.12/0.33  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.jxl7UJN3Uq/Vampire---4.8_32010
% 0.63/0.81  % (32123)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81  % (32122)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (32124)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 (2995ds/34Mi)
% 0.63/0.81  % (32125)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81  % (32120)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 (2995ds/34Mi)
% 0.63/0.81  % (32121)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 (2995ds/51Mi)
% 0.63/0.81  % (32127)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 (2995ds/56Mi)
% 0.63/0.81  % (32126)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 (2995ds/83Mi)
% 0.63/0.81  % (32127)Refutation not found, incomplete strategy% (32127)------------------------------
% 0.63/0.81  % (32127)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (32125)Refutation not found, incomplete strategy% (32125)------------------------------
% 0.63/0.81  % (32125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (32127)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (32125)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (32127)Memory used [KB]: 951
% 0.63/0.81  % (32125)Memory used [KB]: 951
% 0.63/0.81  % (32127)Time elapsed: 0.002 s
% 0.63/0.81  % (32125)Time elapsed: 0.002 s
% 0.63/0.81  % (32127)Instructions burned: 2 (million)
% 0.63/0.81  % (32125)Instructions burned: 2 (million)
% 0.63/0.81  % (32120)Refutation not found, incomplete strategy% (32120)------------------------------
% 0.63/0.81  % (32120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (32120)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (32120)Memory used [KB]: 964
% 0.63/0.81  % (32120)Time elapsed: 0.003 s
% 0.63/0.81  % (32120)Instructions burned: 2 (million)
% 0.63/0.81  % (32123)Refutation not found, incomplete strategy% (32123)------------------------------
% 0.63/0.81  % (32123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (32123)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (32123)Memory used [KB]: 967
% 0.63/0.81  % (32123)Time elapsed: 0.003 s
% 0.63/0.81  % (32123)Instructions burned: 2 (million)
% 0.63/0.81  % (32125)------------------------------
% 0.63/0.81  % (32125)------------------------------
% 0.63/0.81  % (32120)------------------------------
% 0.63/0.81  % (32120)------------------------------
% 0.63/0.81  % (32123)------------------------------
% 0.63/0.81  % (32123)------------------------------
% 0.63/0.81  % (32127)------------------------------
% 0.63/0.81  % (32127)------------------------------
% 0.63/0.81  % (32128)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 (2995ds/55Mi)
% 0.63/0.81  % (32130)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.63/0.81  % (32129)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 (2995ds/50Mi)
% 0.63/0.81  % (32130)Refutation not found, incomplete strategy% (32130)------------------------------
% 0.63/0.81  % (32130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (32130)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (32130)Memory used [KB]: 968
% 0.63/0.81  % (32130)Time elapsed: 0.002 s
% 0.63/0.81  % (32130)Instructions burned: 2 (million)
% 0.63/0.81  % (32130)------------------------------
% 0.63/0.81  % (32130)------------------------------
% 0.63/0.81  % (32128)First to succeed.
% 0.63/0.81  % (32131)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.63/0.81  % (32128)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32119"
% 0.63/0.82  % (32128)Refutation found. Thanks to Tanya!
% 0.63/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82  % (32128)------------------------------
% 0.63/0.82  % (32128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (32128)Termination reason: Refutation
% 0.63/0.82  
% 0.63/0.82  % (32128)Memory used [KB]: 1054
% 0.63/0.82  % (32128)Time elapsed: 0.004 s
% 0.63/0.82  % (32128)Instructions burned: 7 (million)
% 0.63/0.82  % (32119)Success in time 0.475 s
% 0.63/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------