TSTP Solution File: BOO005-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : BOO005-1 : 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 : 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 : Sun May  5 04:41:40 EDT 2024

% Result   : Unsatisfiable 0.65s 0.81s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1398,plain,
    $false,
    inference(unit_resulting_resolution,[],[f18,f7,f18,f1,f43,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ sum(X0,X2,X4)
      | ~ sum(X0,X5,X6)
      | ~ product(X1,X2,X5)
      | product(X3,X4,X6)
      | ~ sum(X0,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.TKBIC6JeAs/Vampire---4.8_2084',distributivity5) ).

fof(f43,plain,
    ~ product(add(x,multiplicative_identity),multiplicative_identity,multiplicative_identity),
    inference(unit_resulting_resolution,[],[f1,f8,f7,f23,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ product(X1,X0,X3)
      | ~ product(X5,X0,X6)
      | ~ sum(X1,X2,X5)
      | ~ product(X2,X0,X4)
      | sum(X3,X4,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.TKBIC6JeAs/Vampire---4.8_2084',distributivity3) ).

fof(f23,axiom,
    ~ sum(x,multiplicative_identity,multiplicative_identity),
    file('/export/starexec/sandbox/tmp/tmp.TKBIC6JeAs/Vampire---4.8_2084',prove_equations) ).

fof(f8,axiom,
    ! [X0] : product(X0,multiplicative_identity,X0),
    file('/export/starexec/sandbox/tmp/tmp.TKBIC6JeAs/Vampire---4.8_2084',multiplicative_identity2) ).

fof(f1,axiom,
    ! [X0,X1] : sum(X0,X1,add(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.TKBIC6JeAs/Vampire---4.8_2084',closure_of_addition) ).

fof(f7,axiom,
    ! [X0] : product(multiplicative_identity,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.TKBIC6JeAs/Vampire---4.8_2084',multiplicative_identity1) ).

fof(f18,axiom,
    ! [X0] : sum(X0,inverse(X0),multiplicative_identity),
    file('/export/starexec/sandbox/tmp/tmp.TKBIC6JeAs/Vampire---4.8_2084',additive_inverse2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : BOO005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15  % 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
% 0.16/0.36  % Computer : n026.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 18:46:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.16/0.37  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.TKBIC6JeAs/Vampire---4.8_2084
% 0.56/0.76  % (2486)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)
% 0.56/0.76  % (2479)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)
% 0.56/0.76  % (2481)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (2480)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)
% 0.56/0.76  % (2482)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)
% 0.56/0.76  % (2484)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)
% 0.56/0.76  % (2485)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)
% 0.56/0.76  % (2483)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)
% 0.56/0.76  % (2482)Refutation not found, incomplete strategy% (2482)------------------------------
% 0.56/0.76  % (2482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (2482)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (2484)Refutation not found, incomplete strategy% (2484)------------------------------
% 0.56/0.76  % (2484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (2482)Memory used [KB]: 974
% 0.56/0.76  % (2482)Time elapsed: 0.002 s
% 0.56/0.76  % (2482)Instructions burned: 2 (million)
% 0.56/0.76  % (2484)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (2484)Memory used [KB]: 975
% 0.56/0.76  % (2484)Time elapsed: 0.002 s
% 0.56/0.76  % (2484)Instructions burned: 2 (million)
% 0.56/0.76  % (2483)Refutation not found, incomplete strategy% (2483)------------------------------
% 0.56/0.76  % (2483)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (2482)------------------------------
% 0.56/0.76  % (2482)------------------------------
% 0.56/0.76  % (2483)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (2483)Memory used [KB]: 977
% 0.56/0.76  % (2484)------------------------------
% 0.56/0.76  % (2484)------------------------------
% 0.56/0.76  % (2483)Time elapsed: 0.003 s
% 0.56/0.76  % (2483)Instructions burned: 2 (million)
% 0.56/0.76  % (2483)------------------------------
% 0.56/0.76  % (2483)------------------------------
% 0.56/0.76  % (2491)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 (2996ds/55Mi)
% 0.56/0.76  % (2492)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  % (2493)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 (2996ds/208Mi)
% 0.56/0.76  % (2491)Refutation not found, incomplete strategy% (2491)------------------------------
% 0.56/0.76  % (2491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (2491)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (2491)Memory used [KB]: 974
% 0.56/0.76  % (2491)Time elapsed: 0.003 s
% 0.56/0.76  % (2491)Instructions burned: 2 (million)
% 0.56/0.76  % (2491)------------------------------
% 0.56/0.76  % (2491)------------------------------
% 0.56/0.77  % (2493)Refutation not found, incomplete strategy% (2493)------------------------------
% 0.56/0.77  % (2493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (2493)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77  
% 0.56/0.77  % (2493)Memory used [KB]: 991
% 0.56/0.77  % (2493)Time elapsed: 0.006 s
% 0.56/0.77  % (2493)Instructions burned: 8 (million)
% 0.56/0.77  % (2493)------------------------------
% 0.56/0.77  % (2493)------------------------------
% 0.56/0.77  % (2495)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 (2996ds/52Mi)
% 0.56/0.77  % (2486)Instruction limit reached!
% 0.56/0.77  % (2486)------------------------------
% 0.56/0.77  % (2486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (2486)Termination reason: Unknown
% 0.56/0.77  % (2486)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (2486)Memory used [KB]: 1119
% 0.56/0.77  % (2486)Time elapsed: 0.015 s
% 0.56/0.77  % (2486)Instructions burned: 58 (million)
% 0.56/0.77  % (2486)------------------------------
% 0.56/0.77  % (2486)------------------------------
% 0.65/0.77  % (2497)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.65/0.77  % (2496)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 (2996ds/518Mi)
% 0.65/0.78  % (2479)Instruction limit reached!
% 0.65/0.78  % (2479)------------------------------
% 0.65/0.78  % (2479)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78  % (2479)Termination reason: Unknown
% 0.65/0.78  % (2479)Termination phase: Saturation
% 0.65/0.78  
% 0.65/0.78  % (2479)Memory used [KB]: 1117
% 0.65/0.78  % (2479)Time elapsed: 0.020 s
% 0.65/0.78  % (2479)Instructions burned: 34 (million)
% 0.65/0.78  % (2479)------------------------------
% 0.65/0.78  % (2479)------------------------------
% 0.65/0.78  % (2499)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.65/0.78  % (2497)Instruction limit reached!
% 0.65/0.78  % (2497)------------------------------
% 0.65/0.78  % (2497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78  % (2497)Termination reason: Unknown
% 0.65/0.78  % (2497)Termination phase: Saturation
% 0.65/0.78  
% 0.65/0.78  % (2497)Memory used [KB]: 1132
% 0.65/0.78  % (2497)Time elapsed: 0.013 s
% 0.65/0.78  % (2497)Instructions burned: 45 (million)
% 0.65/0.78  % (2497)------------------------------
% 0.65/0.78  % (2497)------------------------------
% 0.65/0.79  % (2480)Instruction limit reached!
% 0.65/0.79  % (2480)------------------------------
% 0.65/0.79  % (2480)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (2480)Termination reason: Unknown
% 0.65/0.79  % (2480)Termination phase: Saturation
% 0.65/0.79  
% 0.65/0.79  % (2480)Memory used [KB]: 1210
% 0.65/0.79  % (2480)Time elapsed: 0.031 s
% 0.65/0.79  % (2492)Instruction limit reached!
% 0.65/0.79  % (2492)------------------------------
% 0.65/0.79  % (2492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (2492)Termination reason: Unknown
% 0.65/0.79  % (2492)Termination phase: Saturation
% 0.65/0.79  
% 0.65/0.79  % (2492)Memory used [KB]: 1130
% 0.65/0.79  % (2492)Time elapsed: 0.025 s
% 0.65/0.79  % (2492)Instructions burned: 50 (million)
% 0.65/0.79  % (2492)------------------------------
% 0.65/0.79  % (2492)------------------------------
% 0.65/0.79  % (2505)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.65/0.79  % (2480)Instructions burned: 51 (million)
% 0.65/0.79  % (2480)------------------------------
% 0.65/0.79  % (2480)------------------------------
% 0.65/0.79  % (2505)Refutation not found, incomplete strategy% (2505)------------------------------
% 0.65/0.79  % (2505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (2505)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.79  
% 0.65/0.79  % (2505)Memory used [KB]: 983
% 0.65/0.79  % (2505)Time elapsed: 0.002 s
% 0.65/0.79  % (2505)Instructions burned: 4 (million)
% 0.65/0.79  % (2505)------------------------------
% 0.65/0.79  % (2505)------------------------------
% 0.65/0.79  % (2509)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.65/0.79  % (2507)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.65/0.79  % (2508)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.65/0.79  % (2481)Instruction limit reached!
% 0.65/0.79  % (2481)------------------------------
% 0.65/0.79  % (2481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (2481)Termination reason: Unknown
% 0.65/0.79  % (2481)Termination phase: Saturation
% 0.65/0.79  
% 0.65/0.79  % (2481)Memory used [KB]: 1181
% 0.65/0.79  % (2481)Time elapsed: 0.037 s
% 0.65/0.79  % (2481)Instructions burned: 78 (million)
% 0.65/0.79  % (2481)------------------------------
% 0.65/0.79  % (2481)------------------------------
% 0.65/0.80  % (2495)Instruction limit reached!
% 0.65/0.80  % (2495)------------------------------
% 0.65/0.80  % (2495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (2495)Termination reason: Unknown
% 0.65/0.80  % (2495)Termination phase: Saturation
% 0.65/0.80  
% 0.65/0.80  % (2495)Memory used [KB]: 1203
% 0.65/0.80  % (2495)Time elapsed: 0.030 s
% 0.65/0.80  % (2513)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.65/0.80  % (2495)Instructions burned: 52 (million)
% 0.65/0.80  % (2495)------------------------------
% 0.65/0.80  % (2495)------------------------------
% 0.65/0.80  % (2516)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.65/0.80  % (2485)Instruction limit reached!
% 0.65/0.80  % (2485)------------------------------
% 0.65/0.80  % (2485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (2485)Termination reason: Unknown
% 0.65/0.80  % (2485)Termination phase: Saturation
% 0.65/0.80  
% 0.65/0.80  % (2485)Memory used [KB]: 2218
% 0.65/0.80  % (2485)Time elapsed: 0.048 s
% 0.65/0.80  % (2485)Instructions burned: 84 (million)
% 0.65/0.80  % (2485)------------------------------
% 0.65/0.80  % (2485)------------------------------
% 0.65/0.81  % (2509)First to succeed.
% 0.65/0.81  % (2509)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2346"
% 0.65/0.81  % (2509)Refutation found. Thanks to Tanya!
% 0.65/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.65/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.81  % (2509)------------------------------
% 0.65/0.81  % (2509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (2509)Termination reason: Refutation
% 0.65/0.81  
% 0.65/0.81  % (2509)Memory used [KB]: 1345
% 0.65/0.81  % (2509)Time elapsed: 0.016 s
% 0.65/0.81  % (2509)Instructions burned: 56 (million)
% 0.65/0.81  % (2346)Success in time 0.424 s
% 0.65/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------