TSTP Solution File: ARI114_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI114_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n013.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 02:08:13 EDT 2024

% Result   : Theorem 0.92s 0.87s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (  15 unt;   1 typ;   0 def)
%            Number of atoms       :   15 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   54 (   0 atm;  21 fun;  18 num;  15 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  13   !;   2   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sP0: $int > $o ).

tff(f745,plain,
    $false,
    inference(subsumption_resolution,[],[f743,f23]) ).

tff(f23,plain,
    ~ sP0(-10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

tff(f743,plain,
    sP0(-10),
    inference(evaluation,[],[f740]) ).

tff(f740,plain,
    sP0($sum(-5,-5)),
    inference(superposition,[],[f704,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f704,plain,
    ! [X0: $int] : sP0($sum(-5,$product(-5,X0))),
    inference(superposition,[],[f42,f127]) ).

tff(f127,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
    inference(superposition,[],[f18,f16]) ).

tff(f18,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f42,plain,
    ! [X0: $int] : sP0($product(-5,X0)),
    inference(superposition,[],[f24,f14]) ).

tff(f14,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f24,plain,
    ! [X0: $int] : sP0($product(X0,-5)),
    inference(inequality_splitting,[],[f22,f23]) ).

tff(f22,plain,
    ! [X0: $int] : ( $product(X0,-5) != -10 ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int] : ( $product(X0,-5) != -10 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : ( $product(X0,-5) = -10 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : ( $product(X0,-5) = -10 ),
    file('/export/starexec/sandbox2/tmp/tmp.8S2ZlDSDfO/Vampire---4.8_6189',product_what_n5_n10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ARI114_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % 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   : Tue Apr 30 18:45:49 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_EQU_ARI problem
% 0.15/0.37  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.8S2ZlDSDfO/Vampire---4.8_6189
% 0.61/0.79  % (6392)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)
% 0.61/0.79  % (6391)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (6392)Refutation not found, incomplete strategy% (6392)------------------------------
% 0.61/0.80  % (6392)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (6392)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (6392)Memory used [KB]: 954
% 0.61/0.80  % (6392)Time elapsed: 0.003 s
% 0.61/0.80  % (6392)Instructions burned: 2 (million)
% 0.61/0.80  % (6392)------------------------------
% 0.61/0.80  % (6392)------------------------------
% 0.61/0.80  % (6389)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)
% 0.61/0.80  % (6395)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)
% 0.61/0.80  % (6394)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)
% 0.61/0.80  % (6390)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)
% 0.61/0.80  % (6393)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)
% 0.61/0.80  % (6396)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)
% 0.61/0.80  % (6389)Refutation not found, incomplete strategy% (6389)------------------------------
% 0.61/0.80  % (6389)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (6389)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (6389)Memory used [KB]: 970
% 0.61/0.80  % (6389)Time elapsed: 0.005 s
% 0.61/0.80  % (6396)Refutation not found, incomplete strategy% (6396)------------------------------
% 0.61/0.80  % (6396)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (6389)Instructions burned: 3 (million)
% 0.61/0.80  % (6389)------------------------------
% 0.61/0.80  % (6389)------------------------------
% 0.61/0.80  % (6396)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (6396)Memory used [KB]: 952
% 0.61/0.80  % (6396)Time elapsed: 0.003 s
% 0.61/0.80  % (6396)Instructions burned: 2 (million)
% 0.61/0.80  % (6396)------------------------------
% 0.61/0.80  % (6396)------------------------------
% 0.61/0.80  % (6397)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)
% 0.61/0.80  % (6398)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)
% 0.61/0.80  % (6399)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 (2995ds/208Mi)
% 0.61/0.81  % (6398)Refutation not found, incomplete strategy% (6398)------------------------------
% 0.61/0.81  % (6398)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (6398)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (6398)Memory used [KB]: 954
% 0.61/0.81  % (6398)Time elapsed: 0.003 s
% 0.61/0.81  % (6398)Instructions burned: 2 (million)
% 0.61/0.81  % (6398)------------------------------
% 0.61/0.81  % (6398)------------------------------
% 0.61/0.81  % (6400)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)
% 0.61/0.82  % (6393)Instruction limit reached!
% 0.61/0.82  % (6393)------------------------------
% 0.61/0.82  % (6393)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (6393)Termination reason: Unknown
% 0.61/0.82  % (6393)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (6393)Memory used [KB]: 1171
% 0.61/0.82  % (6393)Time elapsed: 0.026 s
% 0.61/0.82  % (6393)Instructions burned: 34 (million)
% 0.61/0.82  % (6393)------------------------------
% 0.61/0.82  % (6393)------------------------------
% 0.61/0.82  % (6394)Instruction limit reached!
% 0.61/0.82  % (6394)------------------------------
% 0.61/0.82  % (6394)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (6394)Termination reason: Unknown
% 0.61/0.82  % (6394)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (6394)Memory used [KB]: 1255
% 0.61/0.82  % (6394)Time elapsed: 0.028 s
% 0.61/0.82  % (6394)Instructions burned: 46 (million)
% 0.61/0.82  % (6394)------------------------------
% 0.61/0.82  % (6394)------------------------------
% 0.61/0.82  % (6402)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)
% 0.61/0.83  % (6405)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)
% 0.61/0.83  % (6405)Refutation not found, incomplete strategy% (6405)------------------------------
% 0.61/0.83  % (6405)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (6405)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (6405)Memory used [KB]: 956
% 0.61/0.83  % (6405)Time elapsed: 0.003 s
% 0.61/0.83  % (6405)Instructions burned: 3 (million)
% 0.61/0.83  % (6405)------------------------------
% 0.61/0.83  % (6405)------------------------------
% 0.61/0.83  % (6397)Instruction limit reached!
% 0.61/0.83  % (6397)------------------------------
% 0.61/0.83  % (6397)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (6397)Termination reason: Unknown
% 0.61/0.83  % (6397)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (6397)Memory used [KB]: 1430
% 0.61/0.83  % (6397)Time elapsed: 0.031 s
% 0.61/0.83  % (6397)Instructions burned: 55 (million)
% 0.61/0.83  % (6397)------------------------------
% 0.61/0.83  % (6397)------------------------------
% 0.61/0.83  % (6406)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)
% 0.61/0.83  % (6390)Instruction limit reached!
% 0.61/0.83  % (6390)------------------------------
% 0.61/0.83  % (6390)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (6390)Termination reason: Unknown
% 0.61/0.83  % (6390)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (6390)Memory used [KB]: 1418
% 0.61/0.83  % (6390)Time elapsed: 0.038 s
% 0.61/0.83  % (6390)Instructions burned: 52 (million)
% 0.61/0.83  % (6390)------------------------------
% 0.61/0.83  % (6390)------------------------------
% 0.61/0.83  % (6408)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)
% 0.61/0.84  % (6409)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)
% 0.61/0.84  % (6391)Instruction limit reached!
% 0.61/0.84  % (6391)------------------------------
% 0.61/0.84  % (6391)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (6391)Termination reason: Unknown
% 0.61/0.84  % (6391)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (6391)Memory used [KB]: 1513
% 0.61/0.84  % (6391)Time elapsed: 0.044 s
% 0.61/0.84  % (6391)Instructions burned: 78 (million)
% 0.61/0.84  % (6391)------------------------------
% 0.61/0.84  % (6391)------------------------------
% 0.61/0.84  % (6395)Instruction limit reached!
% 0.61/0.84  % (6395)------------------------------
% 0.61/0.84  % (6395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (6395)Termination reason: Unknown
% 0.61/0.84  % (6395)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (6395)Memory used [KB]: 1349
% 0.61/0.84  % (6395)Time elapsed: 0.043 s
% 0.61/0.84  % (6395)Instructions burned: 83 (million)
% 0.61/0.84  % (6395)------------------------------
% 0.61/0.84  % (6395)------------------------------
% 0.61/0.84  % (6400)Instruction limit reached!
% 0.61/0.84  % (6400)------------------------------
% 0.61/0.84  % (6400)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (6400)Termination reason: Unknown
% 0.61/0.84  % (6400)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (6400)Memory used [KB]: 1392
% 0.61/0.84  % (6400)Time elapsed: 0.032 s
% 0.61/0.84  % (6400)Instructions burned: 53 (million)
% 0.61/0.84  % (6400)------------------------------
% 0.61/0.84  % (6400)------------------------------
% 0.61/0.84  % (6410)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)
% 0.61/0.84  % (6411)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)
% 0.61/0.84  % (6411)Refutation not found, incomplete strategy% (6411)------------------------------
% 0.61/0.84  % (6411)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (6411)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (6411)Memory used [KB]: 957
% 0.61/0.84  % (6411)Time elapsed: 0.003 s
% 0.61/0.84  % (6411)Instructions burned: 3 (million)
% 0.61/0.84  % (6411)------------------------------
% 0.61/0.84  % (6411)------------------------------
% 0.61/0.84  % (6412)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)
% 0.61/0.85  % (6413)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)
% 0.92/0.86  % (6412)Instruction limit reached!
% 0.92/0.86  % (6412)------------------------------
% 0.92/0.86  % (6412)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.86  % (6412)Termination reason: Unknown
% 0.92/0.86  % (6412)Termination phase: Saturation
% 0.92/0.86  
% 0.92/0.86  % (6412)Memory used [KB]: 1111
% 0.92/0.86  % (6412)Time elapsed: 0.020 s
% 0.92/0.86  % (6412)Instructions burned: 33 (million)
% 0.92/0.86  % (6412)------------------------------
% 0.92/0.86  % (6412)------------------------------
% 0.92/0.87  % (6419)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)
% 0.92/0.87  % (6410)First to succeed.
% 0.92/0.87  % (6410)Refutation found. Thanks to Tanya!
% 0.92/0.87  % SZS status Theorem for Vampire---4
% 0.92/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.92/0.87  % (6410)------------------------------
% 0.92/0.87  % (6410)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.87  % (6410)Termination reason: Refutation
% 0.92/0.87  
% 0.92/0.87  % (6410)Memory used [KB]: 1297
% 0.92/0.87  % (6410)Time elapsed: 0.027 s
% 0.92/0.87  % (6410)Instructions burned: 50 (million)
% 0.92/0.87  % (6410)------------------------------
% 0.92/0.87  % (6410)------------------------------
% 0.92/0.87  % (6355)Success in time 0.488 s
% 0.92/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------