TSTP Solution File: GRP045-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP045-2 : 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 : 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 : Sun May  5 05:44:28 EDT 2024

% Result   : Unsatisfiable 0.59s 0.82s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   13 (  10 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   20 (  12   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f152,plain,
    $false,
    inference(subsumption_resolution,[],[f151,f15]) ).

fof(f15,plain,
    product(identity,a,b),
    inference(unit_resulting_resolution,[],[f1,f8,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X2,X0)
      | product(X3,X2,X1)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.hLi18E2EUx/Vampire---4.8_6985',product_substitution3) ).

fof(f8,axiom,
    equalish(a,b),
    file('/export/starexec/sandbox/tmp/tmp.hLi18E2EUx/Vampire---4.8_6985',a_equals_b) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.hLi18E2EUx/Vampire---4.8_6985',left_identity) ).

fof(f151,plain,
    ~ product(identity,a,b),
    inference(unit_resulting_resolution,[],[f1,f1,f136,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X4,X2,X3)
      | ~ product(X1,X2,X5)
      | product(X0,X5,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.hLi18E2EUx/Vampire---4.8_6985',associativity1) ).

fof(f136,plain,
    ~ product(identity,b,a),
    inference(unit_resulting_resolution,[],[f14,f3,f9,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X0,X5,X3)
      | ~ product(X1,X2,X5)
      | product(X4,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.hLi18E2EUx/Vampire---4.8_6985',associativity2) ).

fof(f9,axiom,
    product(c,a,result),
    file('/export/starexec/sandbox/tmp/tmp.hLi18E2EUx/Vampire---4.8_6985',product_with_a) ).

fof(f3,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.hLi18E2EUx/Vampire---4.8_6985',total_function1) ).

fof(f14,plain,
    ~ product(multiply(c,identity),b,result),
    inference(unit_resulting_resolution,[],[f3,f1,f10,f5]) ).

fof(f10,axiom,
    ~ product(c,b,result),
    file('/export/starexec/sandbox/tmp/tmp.hLi18E2EUx/Vampire---4.8_6985',prove_product_with_b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : GRP045-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15  % 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
% 0.16/0.37  % Computer : n008.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 20:51:38 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_NEQ_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.hLi18E2EUx/Vampire---4.8_6985
% 0.59/0.76  % (7296)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)
% 0.59/0.76  % (7289)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)
% 0.59/0.76  % (7291)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (7290)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)
% 0.59/0.76  % (7293)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)
% 0.59/0.76  % (7292)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)
% 0.59/0.76  % (7294)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)
% 0.59/0.76  % (7295)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)
% 0.59/0.78  % (7296)Instruction limit reached!
% 0.59/0.78  % (7296)------------------------------
% 0.59/0.78  % (7296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (7296)Termination reason: Unknown
% 0.59/0.78  % (7296)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (7296)Memory used [KB]: 1143
% 0.59/0.78  % (7296)Time elapsed: 0.015 s
% 0.59/0.78  % (7296)Instructions burned: 58 (million)
% 0.59/0.78  % (7296)------------------------------
% 0.59/0.78  % (7296)------------------------------
% 0.59/0.78  % (7304)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)
% 0.59/0.78  % (7292)Instruction limit reached!
% 0.59/0.78  % (7292)------------------------------
% 0.59/0.78  % (7292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (7292)Termination reason: Unknown
% 0.59/0.78  % (7292)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (7292)Memory used [KB]: 1127
% 0.59/0.78  % (7292)Time elapsed: 0.017 s
% 0.59/0.78  % (7292)Instructions burned: 35 (million)
% 0.59/0.78  % (7292)------------------------------
% 0.59/0.78  % (7292)------------------------------
% 0.59/0.78  % (7304)Refutation not found, incomplete strategy% (7304)------------------------------
% 0.59/0.78  % (7304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (7304)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (7304)Memory used [KB]: 971
% 0.59/0.78  % (7304)Time elapsed: 0.001 s
% 0.59/0.78  % (7304)Instructions burned: 2 (million)
% 0.59/0.78  % (7304)------------------------------
% 0.59/0.78  % (7304)------------------------------
% 0.59/0.78  % (7289)Instruction limit reached!
% 0.59/0.78  % (7289)------------------------------
% 0.59/0.78  % (7289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (7289)Termination reason: Unknown
% 0.59/0.78  % (7289)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (7289)Memory used [KB]: 1164
% 0.59/0.78  % (7289)Time elapsed: 0.019 s
% 0.59/0.78  % (7289)Instructions burned: 34 (million)
% 0.59/0.78  % (7289)------------------------------
% 0.59/0.78  % (7289)------------------------------
% 0.59/0.78  % (7293)Instruction limit reached!
% 0.59/0.78  % (7293)------------------------------
% 0.59/0.78  % (7293)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (7293)Termination reason: Unknown
% 0.59/0.78  % (7293)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (7293)Memory used [KB]: 1190
% 0.59/0.78  % (7293)Time elapsed: 0.019 s
% 0.59/0.78  % (7293)Instructions burned: 34 (million)
% 0.59/0.78  % (7293)------------------------------
% 0.59/0.78  % (7293)------------------------------
% 0.59/0.78  % (7307)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)
% 0.59/0.78  % (7306)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)
% 0.59/0.79  % (7308)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)
% 0.59/0.79  % (7294)Instruction limit reached!
% 0.59/0.79  % (7294)------------------------------
% 0.59/0.79  % (7294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (7294)Termination reason: Unknown
% 0.59/0.79  % (7294)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (7294)Memory used [KB]: 1167
% 0.59/0.79  % (7294)Time elapsed: 0.023 s
% 0.59/0.79  % (7294)Instructions burned: 46 (million)
% 0.59/0.79  % (7294)------------------------------
% 0.59/0.79  % (7294)------------------------------
% 0.59/0.79  % (7309)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)
% 0.59/0.79  % (7311)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)
% 0.59/0.80  % (7291)Instruction limit reached!
% 0.59/0.80  % (7291)------------------------------
% 0.59/0.80  % (7291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (7291)Termination reason: Unknown
% 0.59/0.80  % (7291)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (7291)Memory used [KB]: 1177
% 0.59/0.80  % (7291)Time elapsed: 0.033 s
% 0.59/0.80  % (7291)Instructions burned: 78 (million)
% 0.59/0.80  % (7291)------------------------------
% 0.59/0.80  % (7291)------------------------------
% 0.59/0.80  % (7290)Instruction limit reached!
% 0.59/0.80  % (7290)------------------------------
% 0.59/0.80  % (7290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (7290)Termination reason: Unknown
% 0.59/0.80  % (7290)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (7290)Memory used [KB]: 1593
% 0.59/0.80  % (7290)Time elapsed: 0.034 s
% 0.59/0.80  % (7290)Instructions burned: 51 (million)
% 0.59/0.80  % (7290)------------------------------
% 0.59/0.80  % (7290)------------------------------
% 0.59/0.80  % (7316)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 (2995ds/243Mi)
% 0.59/0.80  % (7295)Instruction limit reached!
% 0.59/0.80  % (7295)------------------------------
% 0.59/0.80  % (7295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (7317)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)
% 0.59/0.80  % (7295)Termination reason: Unknown
% 0.59/0.80  % (7295)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (7295)Memory used [KB]: 1205
% 0.59/0.80  % (7295)Time elapsed: 0.038 s
% 0.59/0.80  % (7295)Instructions burned: 83 (million)
% 0.59/0.80  % (7295)------------------------------
% 0.59/0.80  % (7295)------------------------------
% 0.59/0.80  % (7317)Refutation not found, incomplete strategy% (7317)------------------------------
% 0.59/0.80  % (7317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (7317)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (7317)Memory used [KB]: 992
% 0.59/0.80  % (7317)Time elapsed: 0.005 s
% 0.59/0.80  % (7317)Instructions burned: 4 (million)
% 0.59/0.80  % (7317)------------------------------
% 0.59/0.80  % (7317)------------------------------
% 0.59/0.81  % (7321)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)
% 0.59/0.81  % (7323)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)
% 0.59/0.81  % (7306)Instruction limit reached!
% 0.59/0.81  % (7306)------------------------------
% 0.59/0.81  % (7306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (7306)Termination reason: Unknown
% 0.59/0.81  % (7306)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (7306)Memory used [KB]: 1213
% 0.59/0.81  % (7306)Time elapsed: 0.051 s
% 0.59/0.81  % (7306)Instructions burned: 51 (million)
% 0.59/0.81  % (7306)------------------------------
% 0.59/0.81  % (7306)------------------------------
% 0.59/0.81  % (7311)Instruction limit reached!
% 0.59/0.81  % (7311)------------------------------
% 0.59/0.81  % (7311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (7311)Termination reason: Unknown
% 0.59/0.81  % (7311)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (7311)Memory used [KB]: 1176
% 0.59/0.81  % (7311)Time elapsed: 0.047 s
% 0.59/0.81  % (7311)Instructions burned: 43 (million)
% 0.59/0.81  % (7311)------------------------------
% 0.59/0.81  % (7311)------------------------------
% 0.59/0.81  % (7308)Instruction limit reached!
% 0.59/0.81  % (7308)------------------------------
% 0.59/0.81  % (7308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (7308)Termination reason: Unknown
% 0.59/0.81  % (7308)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (7308)Memory used [KB]: 1211
% 0.59/0.81  % (7308)Time elapsed: 0.052 s
% 0.59/0.81  % (7308)Instructions burned: 52 (million)
% 0.59/0.81  % (7308)------------------------------
% 0.59/0.81  % (7308)------------------------------
% 0.59/0.81  % (7332)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)
% 0.59/0.82  % (7335)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)
% 0.59/0.82  % (7337)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)
% 0.59/0.82  % (7332)First to succeed.
% 0.59/0.82  % (7332)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7231"
% 0.59/0.82  % (7332)Refutation found. Thanks to Tanya!
% 0.59/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.82  % (7332)------------------------------
% 0.59/0.82  % (7332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (7332)Termination reason: Refutation
% 0.59/0.82  
% 0.59/0.82  % (7332)Memory used [KB]: 1064
% 0.59/0.82  % (7332)Time elapsed: 0.007 s
% 0.59/0.82  % (7332)Instructions burned: 8 (million)
% 0.59/0.82  % (7231)Success in time 0.449 s
% 0.59/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------