TSTP Solution File: RNG001-5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG001-5 : 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 : n025.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 : Wed May  1 03:40:57 EDT 2024

% Result   : Unsatisfiable 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   26 (  15   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f820,plain,
    $false,
    inference(unit_resulting_resolution,[],[f15,f15,f13,f15,f180,f24]) ).

fof(f24,axiom,
    ! [X2,X0,X1,X8,X6,X9,X7] :
      ( ~ product(X0,X1,X6)
      | ~ product(X0,X8,X9)
      | ~ sum(X1,X2,X8)
      | ~ product(X0,X2,X7)
      | sum(X6,X7,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.MtfWART5Zn/Vampire---4.8_9316',distributivity1) ).

fof(f180,plain,
    ! [X0] : ~ sum(X0,multiply(a,additive_identity),X0),
    inference(unit_resulting_resolution,[],[f17,f17,f58,f20]) ).

fof(f20,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sum(X4,X2,X3)
      | ~ sum(X0,X5,X3)
      | ~ sum(X1,X2,X5)
      | ~ sum(X0,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.MtfWART5Zn/Vampire---4.8_9316',associativity_of_addition2) ).

fof(f58,plain,
    ~ sum(additive_identity,multiply(a,additive_identity),additive_identity),
    inference(unit_resulting_resolution,[],[f13,f34,f28]) ).

fof(f28,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ sum(X0,X1,X5)
      | equalish(X4,X5)
      | ~ sum(X0,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.MtfWART5Zn/Vampire---4.8_9316',addition_is_well_defined) ).

fof(f34,plain,
    ~ equalish(multiply(a,additive_identity),additive_identity),
    inference(unit_resulting_resolution,[],[f15,f30,f12]) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X2,X0)
      | product(X3,X2,X1)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.MtfWART5Zn/Vampire---4.8_9316',product_substitution3) ).

fof(f30,axiom,
    ~ product(a,additive_identity,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.MtfWART5Zn/Vampire---4.8_9316',prove_multiplicative_identity_axiom) ).

fof(f17,axiom,
    ! [X0] : sum(additive_inverse(X0),X0,additive_identity),
    file('/export/starexec/sandbox/tmp/tmp.MtfWART5Zn/Vampire---4.8_9316',left_inverse) ).

fof(f13,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.MtfWART5Zn/Vampire---4.8_9316',additive_identity1) ).

fof(f15,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.MtfWART5Zn/Vampire---4.8_9316',closure_of_multiplication) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG001-5 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15  % 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
% 0.14/0.36  % Computer : n025.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 17:48:26 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.14/0.37  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.MtfWART5Zn/Vampire---4.8_9316
% 0.61/0.75  % (9575)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)
% 0.61/0.75  % (9576)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)
% 0.61/0.75  % (9569)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)
% 0.61/0.75  % (9571)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.75  % (9570)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)
% 0.61/0.75  % (9572)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)
% 0.61/0.75  % (9573)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)
% 0.61/0.75  % (9574)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)
% 0.61/0.75  % (9575)Refutation not found, incomplete strategy% (9575)------------------------------
% 0.61/0.75  % (9575)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.75  % (9575)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.75  
% 0.61/0.75  % (9575)Memory used [KB]: 980
% 0.61/0.75  % (9575)Time elapsed: 0.002 s
% 0.61/0.75  % (9575)Instructions burned: 4 (million)
% 0.61/0.75  % (9575)------------------------------
% 0.61/0.75  % (9575)------------------------------
% 0.61/0.75  % (9572)Refutation not found, incomplete strategy% (9572)------------------------------
% 0.61/0.75  % (9572)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.75  % (9572)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.75  
% 0.61/0.75  % (9572)Memory used [KB]: 971
% 0.61/0.75  % (9572)Time elapsed: 0.003 s
% 0.61/0.75  % (9572)Instructions burned: 3 (million)
% 0.61/0.75  % (9572)------------------------------
% 0.61/0.75  % (9572)------------------------------
% 0.61/0.76  % (9571)Refutation not found, incomplete strategy% (9571)------------------------------
% 0.61/0.76  % (9571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (9571)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (9571)Memory used [KB]: 968
% 0.61/0.76  % (9571)Time elapsed: 0.003 s
% 0.61/0.76  % (9571)Instructions burned: 3 (million)
% 0.61/0.76  % (9571)------------------------------
% 0.61/0.76  % (9571)------------------------------
% 0.61/0.76  % (9577)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)
% 0.61/0.76  % (9578)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)
% 0.61/0.76  % (9579)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)
% 0.61/0.76  % (9579)Refutation not found, incomplete strategy% (9579)------------------------------
% 0.61/0.76  % (9579)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (9579)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (9579)Memory used [KB]: 964
% 0.61/0.76  % (9579)Time elapsed: 0.003 s
% 0.61/0.76  % (9579)Instructions burned: 2 (million)
% 0.61/0.76  % (9579)------------------------------
% 0.61/0.76  % (9579)------------------------------
% 0.61/0.77  % (9580)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)
% 0.61/0.77  % (9569)Instruction limit reached!
% 0.61/0.77  % (9569)------------------------------
% 0.61/0.77  % (9569)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (9569)Termination reason: Unknown
% 0.61/0.77  % (9569)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (9569)Memory used [KB]: 1122
% 0.61/0.77  % (9569)Time elapsed: 0.018 s
% 0.61/0.77  % (9569)Instructions burned: 34 (million)
% 0.61/0.77  % (9569)------------------------------
% 0.61/0.77  % (9569)------------------------------
% 0.61/0.77  % (9573)Instruction limit reached!
% 0.61/0.77  % (9573)------------------------------
% 0.61/0.77  % (9573)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (9573)Termination reason: Unknown
% 0.61/0.77  % (9573)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (9573)Memory used [KB]: 1115
% 0.61/0.77  % (9573)Time elapsed: 0.019 s
% 0.61/0.77  % (9573)Instructions burned: 35 (million)
% 0.61/0.77  % (9573)------------------------------
% 0.61/0.77  % (9573)------------------------------
% 0.61/0.77  % (9577)Instruction limit reached!
% 0.61/0.77  % (9577)------------------------------
% 0.61/0.77  % (9577)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (9581)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)
% 0.61/0.77  % (9577)Termination reason: Unknown
% 0.61/0.77  % (9577)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (9577)Memory used [KB]: 1593
% 0.61/0.77  % (9577)Time elapsed: 0.017 s
% 0.61/0.77  % (9577)Instructions burned: 56 (million)
% 0.61/0.77  % (9577)------------------------------
% 0.61/0.77  % (9577)------------------------------
% 0.61/0.77  % (9574)Instruction limit reached!
% 0.61/0.77  % (9574)------------------------------
% 0.61/0.77  % (9574)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (9574)Termination reason: Unknown
% 0.61/0.77  % (9574)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (9574)Memory used [KB]: 1134
% 0.61/0.77  % (9574)Time elapsed: 0.023 s
% 0.61/0.77  % (9574)Instructions burned: 47 (million)
% 0.61/0.78  % (9574)------------------------------
% 0.61/0.78  % (9574)------------------------------
% 0.61/0.78  % (9582)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)
% 0.61/0.78  % (9583)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)
% 0.61/0.78  % (9583)Refutation not found, incomplete strategy% (9583)------------------------------
% 0.61/0.78  % (9583)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (9583)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (9583)Memory used [KB]: 971
% 0.61/0.78  % (9583)Time elapsed: 0.002 s
% 0.61/0.78  % (9583)Instructions burned: 4 (million)
% 0.61/0.78  % (9583)------------------------------
% 0.61/0.78  % (9583)------------------------------
% 0.61/0.78  % (9576)Instruction limit reached!
% 0.61/0.78  % (9576)------------------------------
% 0.61/0.78  % (9576)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (9576)Termination reason: Unknown
% 0.61/0.78  % (9576)Termination phase: Saturation
% 0.61/0.78  % (9584)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)
% 0.61/0.78  
% 0.61/0.78  % (9576)Memory used [KB]: 1146
% 0.61/0.78  % (9576)Time elapsed: 0.028 s
% 0.61/0.78  % (9576)Instructions burned: 56 (million)
% 0.61/0.78  % (9576)------------------------------
% 0.61/0.78  % (9576)------------------------------
% 0.61/0.78  % (9585)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)
% 0.61/0.78  % (9570)Instruction limit reached!
% 0.61/0.78  % (9570)------------------------------
% 0.61/0.78  % (9570)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (9570)Termination reason: Unknown
% 0.61/0.78  % (9570)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (9570)Memory used [KB]: 1261
% 0.61/0.78  % (9570)Time elapsed: 0.030 s
% 0.61/0.78  % (9570)Instructions burned: 51 (million)
% 0.61/0.78  % (9570)------------------------------
% 0.61/0.78  % (9570)------------------------------
% 0.61/0.78  % (9586)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)
% 0.61/0.78  % (9578)Instruction limit reached!
% 0.61/0.78  % (9578)------------------------------
% 0.61/0.78  % (9578)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (9578)Termination reason: Unknown
% 0.61/0.78  % (9578)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (9578)Memory used [KB]: 1169
% 0.61/0.78  % (9578)Time elapsed: 0.027 s
% 0.61/0.78  % (9578)Instructions burned: 51 (million)
% 0.61/0.78  % (9578)------------------------------
% 0.61/0.78  % (9578)------------------------------
% 0.61/0.79  % (9580)Instruction limit reached!
% 0.61/0.79  % (9580)------------------------------
% 0.61/0.79  % (9580)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (9580)Termination reason: Unknown
% 0.61/0.79  % (9580)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (9580)Memory used [KB]: 1161
% 0.61/0.79  % (9580)Time elapsed: 0.022 s
% 0.61/0.79  % (9580)Instructions burned: 53 (million)
% 0.61/0.79  % (9580)------------------------------
% 0.61/0.79  % (9580)------------------------------
% 0.61/0.79  % (9587)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)
% 0.61/0.79  % (9588)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)
% 0.61/0.79  % (9589)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)
% 0.61/0.80  % (9582)Instruction limit reached!
% 0.61/0.80  % (9582)------------------------------
% 0.61/0.80  % (9582)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (9582)Termination reason: Unknown
% 0.61/0.80  % (9582)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (9582)Memory used [KB]: 1127
% 0.61/0.80  % (9582)Time elapsed: 0.023 s
% 0.61/0.80  % (9582)Instructions burned: 43 (million)
% 0.61/0.80  % (9582)------------------------------
% 0.61/0.80  % (9582)------------------------------
% 0.61/0.80  % (9590)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.80  % (9587)First to succeed.
% 0.61/0.80  % (9587)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (9587)------------------------------
% 0.61/0.80  % (9587)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (9587)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (9587)Memory used [KB]: 1193
% 0.61/0.80  % (9587)Time elapsed: 0.018 s
% 0.61/0.80  % (9587)Instructions burned: 30 (million)
% 0.61/0.80  % (9587)------------------------------
% 0.61/0.80  % (9587)------------------------------
% 0.61/0.80  % (9565)Success in time 0.425 s
% 0.61/0.80  % Vampire---4.8 exiting
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