TSTP Solution File: ARI173_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI173_1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 18:46:44 EDT 2024

% Result   : Theorem 0.59s 0.78s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   21 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   8   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :  124 (  16 atm;  41 fun;  44 num;  23 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   0 usr;   7 con; 0-2 aty)
%            Number of variables   :   23 (  21   !;   2   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f846,plain,
    $false,
    inference(evaluation,[],[f845]) ).

tff(f845,plain,
    $less(-11,$product(-3,$sum(1,3))),
    inference(superposition,[],[f73,f180]) ).

tff(f180,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
    inference(superposition,[],[f18,f16]) ).

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

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(f73,plain,
    ! [X0: $int] : $less(-11,$sum(-3,$product(X0,3))),
    inference(evaluation,[],[f70]) ).

tff(f70,plain,
    ! [X0: $int] : $less(-11,$sum($sum(-4,$product(X0,3)),1)),
    inference(resolution,[],[f60,f12]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_147,[]) ).

tff(f60,plain,
    ! [X0: $int] : ~ $less($sum(-4,$product(X0,3)),-11),
    inference(evaluation,[],[f59]) ).

tff(f59,plain,
    ! [X0: $int] : ~ $less($sum(-4,$product(X0,3)),$sum(-12,1)),
    inference(resolution,[],[f20,f55]) ).

tff(f55,plain,
    ! [X0: $int] : $less(-12,$sum(-4,$product(X0,3))),
    inference(evaluation,[],[f51]) ).

tff(f51,plain,
    ! [X0: $int] : $less(-12,$sum($sum(-5,$product(X0,3)),1)),
    inference(resolution,[],[f12,f24]) ).

tff(f24,plain,
    ! [X0: $int] : ~ $less($sum(-5,$product(X0,3)),-12),
    inference(backward_demodulation,[],[f22,f3]) ).

tff(f3,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f22,plain,
    ! [X0: $int] : ~ $less($sum($product(X0,3),-5),-12),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int] : ~ $less($sum($product(X0,3),-5),-12),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $less($sum($product(X0,3),-5),-12),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $less($sum($product(X0,3),-5),-12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f20,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_161,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI173_1 : TPTP v8.2.0. Released v5.0.0.
% 0.14/0.14  % 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
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 13:09:37 EDT 2024
% 0.21/0.35  % CPUTime    : 
% 0.21/0.35  This is a TF0_THM_NEQ_ARI problem
% 0.21/0.35  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
% 0.56/0.73  % (28850)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)
% 0.56/0.73  % (28848)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)
% 0.56/0.73  % (28849)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)
% 0.56/0.73  % (28851)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)
% 0.56/0.73  % (28848)Refutation not found, incomplete strategy% (28848)------------------------------
% 0.56/0.73  % (28848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (28848)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (28848)Memory used [KB]: 976
% 0.56/0.73  % (28848)Time elapsed: 0.003 s
% 0.56/0.73  % (28848)Instructions burned: 3 (million)
% 0.56/0.74  % (28848)------------------------------
% 0.56/0.74  % (28848)------------------------------
% 0.56/0.74  % (28853)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)
% 0.56/0.74  % (28847)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (28845)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)
% 0.56/0.75  % (28846)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)
% 0.56/0.75  % (28850)Instruction limit reached!
% 0.56/0.75  % (28850)------------------------------
% 0.56/0.75  % (28850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (28850)Termination reason: Unknown
% 0.56/0.75  % (28850)Termination phase: Saturation
% 0.56/0.75  
% 0.56/0.75  % (28850)Memory used [KB]: 1240
% 0.56/0.75  % (28850)Time elapsed: 0.017 s
% 0.56/0.75  % (28850)Instructions burned: 46 (million)
% 0.56/0.75  % (28850)------------------------------
% 0.56/0.75  % (28850)------------------------------
% 0.56/0.75  % (28852)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)
% 0.59/0.76  % (28845)Instruction limit reached!
% 0.59/0.76  % (28845)------------------------------
% 0.59/0.76  % (28845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (28845)Termination reason: Unknown
% 0.59/0.76  % (28845)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (28845)Memory used [KB]: 1146
% 0.59/0.76  % (28845)Time elapsed: 0.043 s
% 0.59/0.76  % (28845)Instructions burned: 35 (million)
% 0.59/0.76  % (28845)------------------------------
% 0.59/0.76  % (28845)------------------------------
% 0.59/0.77  % (28849)Instruction limit reached!
% 0.59/0.77  % (28849)------------------------------
% 0.59/0.77  % (28849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (28849)Termination reason: Unknown
% 0.59/0.77  % (28849)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (28849)Memory used [KB]: 1112
% 0.59/0.77  % (28849)Time elapsed: 0.044 s
% 0.59/0.77  % (28849)Instructions burned: 35 (million)
% 0.59/0.77  % (28849)------------------------------
% 0.59/0.77  % (28849)------------------------------
% 0.59/0.77  % (28853)Instruction limit reached!
% 0.59/0.77  % (28853)------------------------------
% 0.59/0.77  % (28853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (28853)Termination reason: Unknown
% 0.59/0.77  % (28853)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (28853)Memory used [KB]: 1443
% 0.59/0.77  % (28853)Time elapsed: 0.031 s
% 0.59/0.77  % (28853)Instructions burned: 56 (million)
% 0.59/0.77  % (28853)------------------------------
% 0.59/0.77  % (28853)------------------------------
% 0.59/0.77  % (28855)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 (2995ds/208Mi)
% 0.59/0.77  % (28854)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)
% 0.59/0.77  % (28852)Instruction limit reached!
% 0.59/0.77  % (28852)------------------------------
% 0.59/0.77  % (28852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (28852)Termination reason: Unknown
% 0.59/0.77  % (28852)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (28852)Memory used [KB]: 1158
% 0.59/0.77  % (28852)Time elapsed: 0.046 s
% 0.59/0.77  % (28852)Instructions burned: 57 (million)
% 0.59/0.77  % (28852)------------------------------
% 0.59/0.77  % (28852)------------------------------
% 0.59/0.77  % (28856)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 (2995ds/52Mi)
% 0.59/0.77  % (28857)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 (2995ds/518Mi)
% 0.59/0.77  % (28847)First to succeed.
% 0.59/0.77  % (28847)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28844"
% 0.59/0.77  % (28846)Instruction limit reached!
% 0.59/0.77  % (28846)------------------------------
% 0.59/0.77  % (28846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (28846)Termination reason: Unknown
% 0.59/0.77  % (28846)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (28846)Memory used [KB]: 1245
% 0.59/0.77  % (28846)Time elapsed: 0.046 s
% 0.59/0.77  % (28846)Instructions burned: 51 (million)
% 0.59/0.77  % (28846)------------------------------
% 0.59/0.77  % (28846)------------------------------
% 0.59/0.78  % (28847)Refutation found. Thanks to Tanya!
% 0.59/0.78  % SZS status Theorem for theBenchmark
% 0.59/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.78  % (28847)------------------------------
% 0.59/0.78  % (28847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (28847)Termination reason: Refutation
% 0.59/0.78  
% 0.59/0.78  % (28847)Memory used [KB]: 1339
% 0.59/0.78  % (28847)Time elapsed: 0.037 s
% 0.59/0.78  % (28847)Instructions burned: 63 (million)
% 0.59/0.78  % (28844)Success in time 0.414 s
% 0.59/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------