TSTP Solution File: GRP125-4.003 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP125-4.003 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 05:46:06 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   21 (  17 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   28 (  18   ~;  10   |;   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   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f137,plain,
    $false,
    inference(subsumption_resolution,[],[f135,f101]) ).

fof(f101,plain,
    product(e_2,e_3,e_1),
    inference(unit_resulting_resolution,[],[f7,f5,f40,f30,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( product(e_3,X0,X1)
      | product(e_2,X0,X1)
      | product(e_1,X0,X1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',row_surjectivity) ).

fof(f30,plain,
    ~ product(e_3,e_3,e_1),
    inference(unit_resulting_resolution,[],[f12,f18,f15]) ).

fof(f15,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X0,X1,X5)
      | equalish(X4,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',product_total_function2) ).

fof(f18,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',product_idempotence) ).

fof(f12,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',e_3_is_not_e_1) ).

fof(f40,plain,
    ~ product(e_1,e_3,e_1),
    inference(unit_resulting_resolution,[],[f9,f18,f16]) ).

fof(f16,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X4,X1)
      | ~ product(X0,X5,X1)
      | equalish(X4,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',product_right_cancellation) ).

fof(f9,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',e_1_is_not_e_3) ).

fof(f5,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',element_1) ).

fof(f7,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',element_3) ).

fof(f135,plain,
    ~ product(e_2,e_3,e_1),
    inference(unit_resulting_resolution,[],[f27,f98,f19]) ).

fof(f19,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | ~ product(X1,X0,X3)
      | product(X2,X3,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',qg3) ).

fof(f98,plain,
    product(e_3,e_2,e_1),
    inference(unit_resulting_resolution,[],[f6,f5,f39,f28,f1]) ).

fof(f28,plain,
    ~ product(e_2,e_2,e_1),
    inference(unit_resulting_resolution,[],[f10,f18,f15]) ).

fof(f10,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',e_2_is_not_e_1) ).

fof(f39,plain,
    ~ product(e_1,e_2,e_1),
    inference(unit_resulting_resolution,[],[f8,f18,f16]) ).

fof(f8,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',e_1_is_not_e_2) ).

fof(f6,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313',element_2) ).

fof(f27,plain,
    ~ product(e_1,e_1,e_3),
    inference(unit_resulting_resolution,[],[f9,f18,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.14  % 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
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:39:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.15/0.36  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/tmp/tmp.5NSSgfb6nS/Vampire---4.8_3313
% 0.61/0.77  % (3474)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)
% 0.61/0.77  % (3477)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)
% 0.61/0.77  % (3478)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)
% 0.61/0.77  % (3475)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)
% 0.61/0.77  % (3479)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)
% 0.61/0.77  % (3480)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)
% 0.61/0.77  % (3474)Refutation not found, incomplete strategy% (3474)------------------------------
% 0.61/0.77  % (3474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3476)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.77  % (3481)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)
% 0.61/0.77  % (3474)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3474)Memory used [KB]: 960
% 0.61/0.77  % (3474)Time elapsed: 0.001 s
% 0.61/0.77  % (3474)Instructions burned: 2 (million)
% 0.61/0.77  % (3474)------------------------------
% 0.61/0.77  % (3474)------------------------------
% 0.61/0.77  % (3479)Refutation not found, incomplete strategy% (3479)------------------------------
% 0.61/0.77  % (3479)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3479)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  % (3477)Refutation not found, incomplete strategy% (3477)------------------------------
% 0.61/0.77  % (3477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3477)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3477)Memory used [KB]: 964
% 0.61/0.77  % (3477)Time elapsed: 0.002 s
% 0.61/0.77  % (3477)Instructions burned: 2 (million)
% 0.61/0.77  
% 0.61/0.77  % (3479)Memory used [KB]: 960
% 0.61/0.77  % (3479)Time elapsed: 0.002 s
% 0.61/0.77  % (3479)Instructions burned: 2 (million)
% 0.61/0.77  % (3481)Refutation not found, incomplete strategy% (3481)------------------------------
% 0.61/0.77  % (3481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3481)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3481)Memory used [KB]: 960
% 0.61/0.77  % (3481)Time elapsed: 0.002 s
% 0.61/0.77  % (3481)Instructions burned: 2 (million)
% 0.61/0.77  % (3476)Refutation not found, incomplete strategy% (3476)------------------------------
% 0.61/0.77  % (3476)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3476)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  % (3477)------------------------------
% 0.61/0.77  % (3477)------------------------------
% 0.61/0.77  
% 0.61/0.77  % (3476)Memory used [KB]: 962
% 0.61/0.77  % (3476)Time elapsed: 0.003 s
% 0.61/0.77  % (3479)------------------------------
% 0.61/0.77  % (3479)------------------------------
% 0.61/0.77  % (3476)Instructions burned: 2 (million)
% 0.61/0.77  % (3481)------------------------------
% 0.61/0.77  % (3481)------------------------------
% 0.61/0.77  % (3476)------------------------------
% 0.61/0.77  % (3476)------------------------------
% 0.61/0.77  % (3482)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)
% 0.61/0.77  % (3483)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)
% 0.61/0.77  % (3485)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)
% 0.61/0.77  % (3482)First to succeed.
% 0.61/0.77  % (3482)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3473"
% 0.61/0.77  % (3486)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.77  % (3482)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (3482)------------------------------
% 0.61/0.77  % (3482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3482)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (3482)Memory used [KB]: 979
% 0.61/0.77  % (3482)Time elapsed: 0.002 s
% 0.61/0.77  % (3482)Instructions burned: 5 (million)
% 0.61/0.77  % (3473)Success in time 0.41 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------