TSTP Solution File: ARI647_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI647_1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 02:09:45 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  16 unt;   1 typ;   0 def)
%            Number of atoms       :   42 (  22 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  23   ~;  14   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  156 (  19 atm;  48 fun;  73 num;  16 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   1 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?;  16   :)

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

tff(f251,plain,
    $false,
    inference(evaluation,[],[f250]) ).

tff(f250,plain,
    ~ $less($sum(2,$product(-2,1)),1),
    inference(forward_demodulation,[],[f59,f232]) ).

tff(f232,plain,
    a = 1,
    inference(trivial_inequality_removal,[],[f228]) ).

tff(f228,plain,
    ( ( 3 != 3 )
    | ( a = 1 ) ),
    inference(superposition,[],[f223,f17]) ).

tff(f17,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f223,plain,
    ! [X0: $int] :
      ( ( 3 != $product(3,X0) )
      | ( a = X0 ) ),
    inference(evaluation,[],[f210]) ).

tff(f210,plain,
    ! [X0: $int] :
      ( ( 3 != $product(3,X0) )
      | ( 3 = 0 )
      | ( a = X0 ) ),
    inference(superposition,[],[f25,f24]) ).

tff(f24,plain,
    3 = $product(3,a),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ( ( 3 = $product(3,a) )
    & ~ $less($product(-1,$product(2,a)),-1) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ( ( 3 != $product(3,a) )
      | $less($product(-1,$product(2,a)),-1) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( 3 != $product(3,a) )
      | ~ $lesseq(-1,$product(-1,$product(2,a))) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( 3 != $product(3,a) )
    | ~ $lesseq(-1,$product(-1,$product(2,a))) ),
    file('/export/starexec/sandbox2/tmp/tmp.mrofM2Udp5/Vampire---4.8_17757',conj) ).

tff(f25,plain,
    ! [X2: $int,X3: $int,X0: $int] :
      ( ( $product(X0,X2) != $product(X0,X3) )
      | ( 0 = X0 )
      | ( X2 = X3 ) ),
    inference(equality_resolution,[],[f20]) ).

tff(f20,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( ( 0 = X0 )
      | ( $product(X0,X2) != X1 )
      | ( $product(X0,X3) != X1 )
      | ( X2 = X3 ) ),
    introduced(theory_axiom_151,[]) ).

tff(f59,plain,
    ~ $less($sum(2,$product(-2,a)),1),
    inference(evaluation,[],[f58]) ).

tff(f58,plain,
    ~ $less($sum(2,$product(-2,a)),$sum(0,1)),
    inference(resolution,[],[f54,f21]) ).

tff(f21,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_161,[]) ).

tff(f54,plain,
    $less(0,$sum(2,$product(-2,a))),
    inference(evaluation,[],[f53]) ).

tff(f53,plain,
    $less(0,$sum($sum(1,$product(-2,a)),1)),
    inference(resolution,[],[f52,f13]) ).

tff(f13,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_147,[]) ).

tff(f52,plain,
    ~ $less($sum(1,$product(-2,a)),0),
    inference(evaluation,[],[f51]) ).

tff(f51,plain,
    ~ $less($sum(1,$product(-2,a)),$sum(-1,1)),
    inference(resolution,[],[f21,f49]) ).

tff(f49,plain,
    $less(-1,$sum(1,$product(-2,a))),
    inference(forward_demodulation,[],[f47,f4]) ).

tff(f4,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f47,plain,
    $less(-1,$sum($product(-2,a),1)),
    inference(resolution,[],[f13,f26]) ).

tff(f26,plain,
    ~ $less($product(-2,a),-1),
    inference(evaluation,[],[f23]) ).

tff(f23,plain,
    ~ $less($product(-1,$product(2,a)),-1),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ARI647_1 : TPTP v8.1.2. Released v6.3.0.
% 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
% 0.14/0.35  % Computer : n019.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   : Tue Apr 30 18:54:14 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TF0_THM_EQU_ARI problem
% 0.14/0.36  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.mrofM2Udp5/Vampire---4.8_17757
% 0.56/0.73  % (17958)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)
% 0.56/0.73  % (17965)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)
% 0.56/0.73  % (17960)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73  % (17961)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)
% 0.56/0.73  % (17959)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)
% 0.56/0.73  % (17962)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)
% 0.56/0.73  % (17963)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)
% 0.56/0.73  % (17964)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)
% 0.56/0.73  % (17961)Refutation not found, incomplete strategy% (17961)------------------------------
% 0.56/0.73  % (17961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73  % (17961)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (17961)Memory used [KB]: 969
% 0.56/0.73  % (17961)Time elapsed: 0.003 s
% 0.56/0.73  % (17961)Instructions burned: 3 (million)
% 0.56/0.73  % (17961)------------------------------
% 0.56/0.73  % (17961)------------------------------
% 0.56/0.74  % (17958)Instruction limit reached!
% 0.56/0.74  % (17958)------------------------------
% 0.56/0.74  % (17958)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (17958)Termination reason: Unknown
% 0.56/0.74  % (17958)Termination phase: Saturation
% 0.56/0.74  
% 0.56/0.74  % (17958)Memory used [KB]: 1147
% 0.56/0.74  % (17958)Time elapsed: 0.012 s
% 0.56/0.74  % (17958)Instructions burned: 36 (million)
% 0.56/0.74  % (17958)------------------------------
% 0.56/0.74  % (17958)------------------------------
% 0.56/0.74  % (17960)First to succeed.
% 0.56/0.74  % (17960)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74  % (17960)------------------------------
% 0.56/0.74  % (17960)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (17960)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (17960)Memory used [KB]: 1088
% 0.56/0.74  % (17960)Time elapsed: 0.012 s
% 0.56/0.74  % (17960)Instructions burned: 16 (million)
% 0.56/0.74  % (17960)------------------------------
% 0.56/0.74  % (17960)------------------------------
% 0.56/0.74  % (17926)Success in time 0.371 s
% 0.56/0.74  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.56/0.74  17926 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.mrofM2Udp5/Vampire---4.8_17757
% 0.56/0.74  % (17926)------------------------------
% 0.56/0.74  % (17926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (17926)Termination reason: Unknown
% 0.56/0.74  % (17926)Termination phase: Unknown
% 0.56/0.74  
% 0.56/0.74  % (17926)Memory used [KB]: 438
% 0.56/0.74  % (17926)Time elapsed: 0.371 s
% 0.56/0.74  % (17926)Instructions burned: 953 (million)
% 0.56/0.74  % (17926)------------------------------
% 0.56/0.74  % (17926)------------------------------
% 0.56/0.74  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  ???
% 0.56/0.74   ???
% 0.56/0.74    ???
% 0.56/0.74     ???
% 0.56/0.74      ???
% 0.56/0.74       ???
% 0.56/0.74        ???
% 0.56/0.74         ???
% 0.56/0.74          ???
% 0.56/0.74           ???
% 0.56/0.74            ???
% 0.56/0.74             ???
% 0.56/0.74              ???
% 0.56/0.74               ???
% 0.56/0.74                ???
% 0.56/0.74                 ???
% 0.56/0.74                  ???
% 0.56/0.74                   ???
% 0.56/0.74                    ???
% 0.56/0.74                     ???
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------