TSTP Solution File: ARI674_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI674_1 : TPTP v8.2.0. Released v6.3.0.
% 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 : n018.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 : Mon May 20 18:48:39 EDT 2024

% Result   : Theorem 0.68s 0.78s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   50 (  12 unt;   1 typ;   0 def)
%            Number of atoms       :   91 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   88 (  46   ~;  35   |;   1   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :  105 (  37 atm;  11 fun;  53 num;   4 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   6 usr;   7 prp; 0-2 aty)
%            Number of functors    :    9 (   1 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    a: $int ).

tff(f854,plain,
    $false,
    inference(avatar_sat_refutation,[],[f321,f630,f634,f709,f786,f790,f853]) ).

tff(f853,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f852]) ).

tff(f852,plain,
    ( $false
    | ~ spl0_1 ),
    inference(evaluation,[],[f793]) ).

tff(f793,plain,
    ( ~ $less($product(-1,-1),4)
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f27,f83]) ).

tff(f83,plain,
    ( ( a = -1 )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f81]) ).

tff(f81,plain,
    ( spl0_1
  <=> ( a = -1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

tff(f27,plain,
    ~ $less($product(a,a),4),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,plain,
    ~ $less($product(a,a),4),
    inference(theory_normalization,[],[f1]) ).

tff(f1,axiom,
    $lesseq(4,$product(a,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

tff(f790,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f181,f85,f81]) ).

tff(f85,plain,
    ( spl0_2
  <=> $less(-1,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

tff(f181,plain,
    ( $less(-1,a)
    | ( a = -1 ) ),
    inference(resolution,[],[f63,f13]) ).

tff(f13,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,X0)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f63,plain,
    ~ $less(a,-1),
    inference(evaluation,[],[f59]) ).

tff(f59,plain,
    ~ $less(a,$sum(-2,1)),
    inference(resolution,[],[f23,f25]) ).

tff(f25,plain,
    $less(-2,a),
    inference(cnf_transformation,[],[f24]) ).

tff(f24,plain,
    ( $less(a,2)
    & $less(-2,a) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,plain,
    ~ ( ~ $less(a,2)
      | ~ $less(-2,a) ),
    inference(theory_normalization,[],[f3]) ).

tff(f3,negated_conjecture,
    ~ ( $lesseq(2,a)
      | $lesseq(a,-2) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ( $lesseq(2,a)
    | $lesseq(a,-2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001) ).

tff(f23,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_161,[]) ).

tff(f786,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f785]) ).

tff(f785,plain,
    ( $false
    | ~ spl0_9 ),
    inference(evaluation,[],[f718]) ).

tff(f718,plain,
    ( ~ $less($product(1,1),4)
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f27,f316]) ).

tff(f316,plain,
    ( ( a = 1 )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f314]) ).

tff(f314,plain,
    ( spl0_9
  <=> ( a = 1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

tff(f709,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f708]) ).

tff(f708,plain,
    ( $false
    | ~ spl0_7 ),
    inference(evaluation,[],[f637]) ).

tff(f637,plain,
    ( ~ $less($product(0,0),4)
    | ~ spl0_7 ),
    inference(backward_demodulation,[],[f27,f138]) ).

tff(f138,plain,
    ( ( a = 0 )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f136]) ).

tff(f136,plain,
    ( spl0_7
  <=> ( a = 0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

tff(f634,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f254,f85,f140,f136]) ).

tff(f140,plain,
    ( spl0_8
  <=> $less(0,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

tff(f254,plain,
    ( $less(0,a)
    | ( a = 0 )
    | ~ spl0_2 ),
    inference(resolution,[],[f228,f13]) ).

tff(f228,plain,
    ( ~ $less(a,0)
    | ~ spl0_2 ),
    inference(evaluation,[],[f227]) ).

tff(f227,plain,
    ( ~ $less(a,$sum(-1,1))
    | ~ spl0_2 ),
    inference(resolution,[],[f87,f23]) ).

tff(f87,plain,
    ( $less(-1,a)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f85]) ).

tff(f630,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f629]) ).

tff(f629,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f628,f26]) ).

tff(f26,plain,
    $less(a,2),
    inference(cnf_transformation,[],[f24]) ).

tff(f628,plain,
    ( ~ $less(a,2)
    | ~ spl0_10 ),
    inference(evaluation,[],[f627]) ).

tff(f627,plain,
    ( ~ $less(a,$sum(1,1))
    | ~ spl0_10 ),
    inference(resolution,[],[f320,f23]) ).

tff(f320,plain,
    ( $less(1,a)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f318]) ).

tff(f318,plain,
    ( spl0_10
  <=> $less(1,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

tff(f321,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f310,f140,f318,f314]) ).

tff(f310,plain,
    ( $less(1,a)
    | ( a = 1 )
    | ~ spl0_8 ),
    inference(resolution,[],[f291,f13]) ).

tff(f291,plain,
    ( ~ $less(a,1)
    | ~ spl0_8 ),
    inference(evaluation,[],[f290]) ).

tff(f290,plain,
    ( ~ $less(a,$sum(0,1))
    | ~ spl0_8 ),
    inference(resolution,[],[f142,f23]) ).

tff(f142,plain,
    ( $less(0,a)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ARI674_1 : TPTP v8.2.0. Released v6.3.0.
% 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
% 0.15/0.36  % Computer : n018.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   : Sun May 19 13:16:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_NEQ_ARI problem
% 0.15/0.36  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/benchmark/theBenchmark.p
% 0.55/0.75  % (12352)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.75  % (12352)Refutation not found, incomplete strategy% (12352)------------------------------
% 0.55/0.75  % (12352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (12352)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (12352)Memory used [KB]: 965
% 0.55/0.75  % (12352)Time elapsed: 0.002 s
% 0.55/0.75  % (12352)Instructions burned: 2 (million)
% 0.55/0.75  % (12345)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.75  % (12347)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.75  % (12352)------------------------------
% 0.55/0.75  % (12352)------------------------------
% 0.55/0.75  % (12349)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.75  % (12346)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.75  % (12350)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.75  % (12351)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.75  % (12348)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.75  % (12350)Refutation not found, incomplete strategy% (12350)------------------------------
% 0.55/0.75  % (12350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (12350)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (12350)Memory used [KB]: 965
% 0.55/0.75  % (12350)Time elapsed: 0.003 s
% 0.55/0.75  % (12350)Instructions burned: 2 (million)
% 0.55/0.75  % (12350)------------------------------
% 0.55/0.75  % (12350)------------------------------
% 0.55/0.75  % (12353)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.75  % (12354)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 theBenchmark for (2996ds/50Mi)
% 0.55/0.77  % (12345)Instruction limit reached!
% 0.55/0.77  % (12345)------------------------------
% 0.55/0.77  % (12345)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12345)Termination reason: Unknown
% 0.55/0.77  % (12345)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (12345)Memory used [KB]: 1130
% 0.55/0.77  % (12345)Time elapsed: 0.020 s
% 0.55/0.77  % (12345)Instructions burned: 35 (million)
% 0.55/0.77  % (12345)------------------------------
% 0.55/0.77  % (12345)------------------------------
% 0.55/0.77  % (12348)Instruction limit reached!
% 0.55/0.77  % (12348)------------------------------
% 0.55/0.77  % (12348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12349)Instruction limit reached!
% 0.55/0.77  % (12349)------------------------------
% 0.55/0.77  % (12349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12349)Termination reason: Unknown
% 0.55/0.77  % (12349)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (12349)Memory used [KB]: 1143
% 0.55/0.77  % (12349)Time elapsed: 0.021 s
% 0.55/0.77  % (12349)Instructions burned: 35 (million)
% 0.55/0.77  % (12349)------------------------------
% 0.55/0.77  % (12349)------------------------------
% 0.55/0.77  % (12348)Termination reason: Unknown
% 0.55/0.77  % (12348)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (12348)Memory used [KB]: 1111
% 0.55/0.77  % (12348)Time elapsed: 0.021 s
% 0.55/0.77  % (12348)Instructions burned: 35 (million)
% 0.55/0.77  % (12348)------------------------------
% 0.55/0.77  % (12348)------------------------------
% 0.55/0.77  % (12353)Instruction limit reached!
% 0.55/0.77  % (12353)------------------------------
% 0.55/0.77  % (12353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12353)Termination reason: Unknown
% 0.55/0.77  % (12353)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (12353)Memory used [KB]: 1550
% 0.55/0.77  % (12353)Time elapsed: 0.020 s
% 0.55/0.77  % (12353)Instructions burned: 57 (million)
% 0.55/0.77  % (12353)------------------------------
% 0.55/0.77  % (12353)------------------------------
% 0.55/0.77  % (12355)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.77  % (12356)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 theBenchmark for (2996ds/52Mi)
% 0.55/0.77  % (12357)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 theBenchmark for (2996ds/518Mi)
% 0.55/0.77  % (12358)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 theBenchmark for (2996ds/42Mi)
% 0.55/0.77  % (12358)Refutation not found, incomplete strategy% (12358)------------------------------
% 0.55/0.77  % (12358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12358)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  % (12358)Memory used [KB]: 969
% 0.55/0.77  % (12358)Time elapsed: 0.002 s
% 0.55/0.77  % (12358)Instructions burned: 3 (million)
% 0.55/0.77  % (12358)------------------------------
% 0.55/0.77  % (12358)------------------------------
% 0.55/0.77  % (12357)Refutation not found, incomplete strategy% (12357)------------------------------
% 0.55/0.77  % (12357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12357)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  % (12357)Memory used [KB]: 967
% 0.55/0.77  % (12357)Time elapsed: 0.004 s
% 0.55/0.77  % (12357)Instructions burned: 3 (million)
% 0.55/0.77  % (12357)------------------------------
% 0.55/0.77  % (12357)------------------------------
% 0.68/0.78  % (12359)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 theBenchmark for (2996ds/243Mi)
% 0.68/0.78  % (12347)First to succeed.
% 0.68/0.78  % (12347)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12344"
% 0.68/0.78  % (12347)Refutation found. Thanks to Tanya!
% 0.68/0.78  % SZS status Theorem for theBenchmark
% 0.68/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.78  % (12347)------------------------------
% 0.68/0.78  % (12347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (12347)Termination reason: Refutation
% 0.68/0.78  
% 0.68/0.78  % (12347)Memory used [KB]: 1265
% 0.68/0.78  % (12347)Time elapsed: 0.030 s
% 0.68/0.78  % (12347)Instructions burned: 48 (million)
% 0.68/0.78  % (12344)Success in time 0.403 s
% 0.68/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------