TSTP Solution File: RNG037-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG037-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 08:53:45 EDT 2024

% Result   : Unsatisfiable 0.78s 0.84s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (  12 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   26 (  15   ~;  11   |;   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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1425,plain,
    $false,
    inference(subsumption_resolution,[],[f1348,f538]) ).

fof(f538,plain,
    product(a,additive_identity,add(c,d)),
    inference(unit_resulting_resolution,[],[f4,f18,f5,f19,f13]) ).

fof(f13,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ product(X0,X3,X7)
      | ~ sum(X6,X7,X9)
      | ~ sum(X1,X3,X8)
      | product(X0,X8,X9)
      | ~ product(X0,X1,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',distributivity2) ).

fof(f19,axiom,
    product(a,additive_inverse(b),c),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',a_inverse_times_b) ).

fof(f5,axiom,
    ! [X0] : sum(additive_inverse(X0),X0,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',left_inverse) ).

fof(f18,axiom,
    product(a,b,d),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',a_times_b) ).

fof(f4,axiom,
    ! [X0,X1] : sum(X0,X1,add(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',closure_of_addition) ).

fof(f1348,plain,
    ~ product(a,additive_identity,add(c,d)),
    inference(unit_resulting_resolution,[],[f19,f19,f2,f330,f12]) ).

fof(f12,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ product(X0,X1,X6)
      | ~ product(X0,X8,X9)
      | ~ sum(X1,X3,X8)
      | ~ product(X0,X3,X7)
      | sum(X6,X7,X9) ),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',distributivity1) ).

fof(f330,plain,
    ! [X0] : ~ sum(X0,add(c,d),X0),
    inference(unit_resulting_resolution,[],[f5,f5,f27,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sum(X2,X3,X5)
      | ~ sum(X0,X4,X5)
      | ~ sum(X1,X3,X4)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',associativity_of_addition2) ).

fof(f27,plain,
    ~ sum(additive_identity,add(c,d),additive_identity),
    inference(unit_resulting_resolution,[],[f1,f4,f20,f8]) ).

fof(f20,axiom,
    ~ sum(c,d,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',prove_sum_is_additive_identity) ).

fof(f1,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',additive_identity1) ).

fof(f2,axiom,
    ! [X0] : sum(X0,additive_identity,X0),
    file('/export/starexec/sandbox2/tmp/tmp.4uAI8Cr9ha/Vampire---4.8_5748',additive_identity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : RNG037-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % 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 : n005.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
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 18:24:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_HRN 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.4uAI8Cr9ha/Vampire---4.8_5748
% 0.58/0.75  % (6101)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)
% 0.58/0.75  % (6094)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)
% 0.58/0.75  % (6096)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (6095)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)
% 0.58/0.75  % (6097)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)
% 0.58/0.75  % (6098)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)
% 0.58/0.75  % (6099)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)
% 0.58/0.75  % (6100)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)
% 0.58/0.76  % (6101)Instruction limit reached!
% 0.58/0.76  % (6101)------------------------------
% 0.58/0.76  % (6101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (6101)Termination reason: Unknown
% 0.58/0.76  % (6101)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (6101)Memory used [KB]: 1158
% 0.58/0.76  % (6101)Time elapsed: 0.016 s
% 0.58/0.76  % (6101)Instructions burned: 56 (million)
% 0.58/0.76  % (6101)------------------------------
% 0.58/0.76  % (6101)------------------------------
% 0.58/0.77  % (6094)Instruction limit reached!
% 0.58/0.77  % (6094)------------------------------
% 0.58/0.77  % (6094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (6094)Termination reason: Unknown
% 0.58/0.77  % (6094)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (6102)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)
% 0.58/0.77  % (6094)Memory used [KB]: 1129
% 0.58/0.77  % (6094)Time elapsed: 0.018 s
% 0.58/0.77  % (6097)Instruction limit reached!
% 0.58/0.77  % (6097)------------------------------
% 0.58/0.77  % (6097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (6094)Instructions burned: 35 (million)
% 0.58/0.77  % (6094)------------------------------
% 0.58/0.77  % (6094)------------------------------
% 0.58/0.77  % (6097)Termination reason: Unknown
% 0.58/0.77  % (6097)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (6097)Memory used [KB]: 1173
% 0.58/0.77  % (6097)Time elapsed: 0.018 s
% 0.58/0.77  % (6097)Instructions burned: 33 (million)
% 0.58/0.77  % (6097)------------------------------
% 0.58/0.77  % (6097)------------------------------
% 0.58/0.77  % (6098)Instruction limit reached!
% 0.58/0.77  % (6098)------------------------------
% 0.58/0.77  % (6098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (6098)Termination reason: Unknown
% 0.58/0.77  % (6098)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (6098)Memory used [KB]: 1145
% 0.58/0.77  % (6098)Time elapsed: 0.019 s
% 0.58/0.77  % (6098)Instructions burned: 35 (million)
% 0.58/0.77  % (6098)------------------------------
% 0.58/0.77  % (6098)------------------------------
% 0.58/0.77  % (6103)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)
% 0.58/0.77  % (6104)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)
% 0.58/0.77  % (6105)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)
% 0.58/0.77  % (6099)Instruction limit reached!
% 0.58/0.77  % (6099)------------------------------
% 0.58/0.77  % (6099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (6099)Termination reason: Unknown
% 0.58/0.77  % (6099)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (6099)Memory used [KB]: 1161
% 0.58/0.77  % (6099)Time elapsed: 0.024 s
% 0.58/0.77  % (6099)Instructions burned: 47 (million)
% 0.58/0.77  % (6099)------------------------------
% 0.58/0.77  % (6099)------------------------------
% 0.58/0.78  % (6106)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)
% 0.58/0.78  % (6095)Instruction limit reached!
% 0.58/0.78  % (6095)------------------------------
% 0.58/0.78  % (6095)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (6095)Termination reason: Unknown
% 0.58/0.78  % (6095)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (6095)Memory used [KB]: 1216
% 0.58/0.78  % (6095)Time elapsed: 0.032 s
% 0.58/0.78  % (6095)Instructions burned: 52 (million)
% 0.58/0.78  % (6095)------------------------------
% 0.58/0.78  % (6095)------------------------------
% 0.58/0.78  % (6102)Instruction limit reached!
% 0.58/0.78  % (6102)------------------------------
% 0.58/0.78  % (6102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (6102)Termination reason: Unknown
% 0.58/0.78  % (6102)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (6102)Memory used [KB]: 1299
% 0.58/0.78  % (6102)Time elapsed: 0.016 s
% 0.58/0.78  % (6102)Instructions burned: 56 (million)
% 0.58/0.78  % (6102)------------------------------
% 0.58/0.78  % (6102)------------------------------
% 0.58/0.78  % (6108)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)
% 0.58/0.78  % (6096)Instruction limit reached!
% 0.58/0.78  % (6096)------------------------------
% 0.58/0.78  % (6096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (6096)Termination reason: Unknown
% 0.58/0.78  % (6096)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (6096)Memory used [KB]: 1168
% 0.58/0.78  % (6096)Time elapsed: 0.036 s
% 0.58/0.78  % (6096)Instructions burned: 79 (million)
% 0.58/0.78  % (6096)------------------------------
% 0.58/0.78  % (6096)------------------------------
% 0.58/0.78  % (6107)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 (2995ds/42Mi)
% 0.78/0.79  % (6109)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)
% 0.78/0.80  % (6103)Instruction limit reached!
% 0.78/0.80  % (6103)------------------------------
% 0.78/0.80  % (6103)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.80  % (6103)Termination reason: Unknown
% 0.78/0.80  % (6103)Termination phase: Saturation
% 0.78/0.80  
% 0.78/0.80  % (6103)Memory used [KB]: 1201
% 0.78/0.80  % (6103)Time elapsed: 0.049 s
% 0.78/0.80  % (6103)Instructions burned: 50 (million)
% 0.78/0.80  % (6103)------------------------------
% 0.78/0.80  % (6103)------------------------------
% 0.78/0.80  % (6100)Instruction limit reached!
% 0.78/0.80  % (6100)------------------------------
% 0.78/0.80  % (6100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.80  % (6100)Termination reason: Unknown
% 0.78/0.80  % (6100)Termination phase: Saturation
% 0.78/0.80  
% 0.78/0.80  % (6100)Memory used [KB]: 2186
% 0.78/0.80  % (6100)Time elapsed: 0.050 s
% 0.78/0.80  % (6100)Instructions burned: 83 (million)
% 0.78/0.80  % (6100)------------------------------
% 0.78/0.80  % (6100)------------------------------
% 0.78/0.80  % (6105)Instruction limit reached!
% 0.78/0.80  % (6105)------------------------------
% 0.78/0.80  % (6105)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.80  % (6105)Termination reason: Unknown
% 0.78/0.80  % (6105)Termination phase: Saturation
% 0.78/0.80  
% 0.78/0.80  % (6105)Memory used [KB]: 1251
% 0.78/0.80  % (6105)Time elapsed: 0.052 s
% 0.78/0.80  % (6105)Instructions burned: 52 (million)
% 0.78/0.80  % (6105)------------------------------
% 0.78/0.80  % (6105)------------------------------
% 0.78/0.80  % (6110)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)
% 0.78/0.80  % (6111)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)
% 0.78/0.80  % (6112)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)
% 0.78/0.80  % (6107)Instruction limit reached!
% 0.78/0.80  % (6107)------------------------------
% 0.78/0.80  % (6107)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.80  % (6107)Termination reason: Unknown
% 0.78/0.80  % (6107)Termination phase: Saturation
% 0.78/0.80  
% 0.78/0.80  % (6107)Memory used [KB]: 1144
% 0.78/0.80  % (6107)Time elapsed: 0.047 s
% 0.78/0.80  % (6107)Instructions burned: 43 (million)
% 0.78/0.80  % (6107)------------------------------
% 0.78/0.80  % (6107)------------------------------
% 0.78/0.81  % (6113)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)
% 0.78/0.83  % (6113)Instruction limit reached!
% 0.78/0.83  % (6113)------------------------------
% 0.78/0.83  % (6113)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.83  % (6113)Termination reason: Unknown
% 0.78/0.83  % (6113)Termination phase: Saturation
% 0.78/0.83  
% 0.78/0.83  % (6113)Memory used [KB]: 1100
% 0.78/0.83  % (6113)Time elapsed: 0.019 s
% 0.78/0.83  % (6113)Instructions burned: 32 (million)
% 0.78/0.83  % (6113)------------------------------
% 0.78/0.83  % (6113)------------------------------
% 0.78/0.83  % (6114)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)
% 0.78/0.83  % (6112)First to succeed.
% 0.78/0.83  % (6112)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6004"
% 0.78/0.84  % (6112)Refutation found. Thanks to Tanya!
% 0.78/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.78/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.78/0.84  % (6112)------------------------------
% 0.78/0.84  % (6112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.84  % (6112)Termination reason: Refutation
% 0.78/0.84  
% 0.78/0.84  % (6112)Memory used [KB]: 1363
% 0.78/0.84  % (6112)Time elapsed: 0.033 s
% 0.78/0.84  % (6112)Instructions burned: 59 (million)
% 0.78/0.84  % (6004)Success in time 0.478 s
% 0.78/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------