TSTP Solution File: NUM895_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM895_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n020.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 : Sun May  5 08:16:15 EDT 2024

% Result   : Theorem 0.68s 0.83s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (  11 unt;   3 typ;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :   74 (   0 atm;  45 fun;   2 num;  27 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (  21   !;   6   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_5,type,
    sK0: $int ).

tff(func_def_6,type,
    sK1: $int ).

tff(func_def_7,type,
    sK2: $int ).

tff(f207,plain,
    $false,
    inference(subsumption_resolution,[],[f203,f20]) ).

tff(f20,plain,
    sK1 != $sum(sK2,$uminus(sK0)),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ( ( sK1 != $sum(sK2,$uminus(sK0)) )
    & ( sK2 = $sum(sK0,sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).

tff(f17,plain,
    ( ? [X0: $int,X1: $int,X2: $int] :
        ( ( $sum(X2,$uminus(X0)) != X1 )
        & ( $sum(X0,X1) = X2 ) )
   => ( ( sK1 != $sum(sK2,$uminus(sK0)) )
      & ( sK2 = $sum(sK0,sK1) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ? [X0: $int,X1: $int,X2: $int] :
      ( ( $sum(X2,$uminus(X0)) != X1 )
      & ( $sum(X0,X1) = X2 ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $int,X1: $int,X2: $int] :
        ( ( $sum(X0,X1) = X2 )
       => ( $sum(X2,$uminus(X0)) = X1 ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int,X1: $int,X2: $int] :
        ( ( $sum(X0,X1) = X2 )
       => ( $difference(X2,X0) = X1 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( $sum(X0,X1) = X2 )
     => ( $difference(X2,X0) = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.5M1jrfeiwR/Vampire---4.8_9722',sum_difference) ).

tff(f203,plain,
    sK1 = $sum(sK2,$uminus(sK0)),
    inference(superposition,[],[f116,f111]) ).

tff(f111,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
    inference(evaluation,[],[f93]) ).

tff(f93,plain,
    ! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
    inference(superposition,[],[f5,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f5,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f116,plain,
    ! [X0: $int] : ( $sum(sK2,X0) = $sum(sK0,$sum(X0,sK1)) ),
    inference(superposition,[],[f99,f4]) ).

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

tff(f99,plain,
    ! [X0: $int] : ( $sum(sK0,$sum(sK1,X0)) = $sum(sK2,X0) ),
    inference(superposition,[],[f5,f19]) ).

tff(f19,plain,
    sK2 = $sum(sK0,sK1),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM895_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % 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
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 14:51:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TF0_THM_EQU_ARI problem
% 0.13/0.35  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/tmp/tmp.5M1jrfeiwR/Vampire---4.8_9722
% 0.63/0.82  % (9831)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)
% 0.63/0.82  % (9835)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)
% 0.63/0.82  % (9833)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.82  % (9836)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)
% 0.63/0.82  % (9834)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)
% 0.63/0.82  % (9832)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)
% 0.63/0.82  % (9838)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)
% 0.63/0.82  % (9837)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)
% 0.63/0.82  % (9838)Refutation not found, incomplete strategy% (9838)------------------------------
% 0.63/0.82  % (9838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (9838)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (9838)Memory used [KB]: 953
% 0.63/0.82  % (9838)Time elapsed: 0.003 s
% 0.63/0.82  % (9838)Instructions burned: 2 (million)
% 0.63/0.82  % (9834)Refutation not found, incomplete strategy% (9834)------------------------------
% 0.63/0.82  % (9834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (9834)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (9836)Refutation not found, incomplete strategy% (9836)------------------------------
% 0.63/0.82  % (9836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (9836)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (9836)Memory used [KB]: 955
% 0.63/0.82  % (9836)Time elapsed: 0.003 s
% 0.63/0.82  % (9836)Instructions burned: 2 (million)
% 0.63/0.82  % (9831)Refutation not found, incomplete strategy% (9831)------------------------------
% 0.63/0.82  % (9831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (9834)Memory used [KB]: 955
% 0.63/0.82  % (9834)Time elapsed: 0.003 s
% 0.63/0.82  % (9834)Instructions burned: 2 (million)
% 0.63/0.82  % (9831)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  % (9838)------------------------------
% 0.63/0.82  % (9838)------------------------------
% 0.63/0.82  
% 0.63/0.82  % (9831)Memory used [KB]: 970
% 0.63/0.82  % (9831)Time elapsed: 0.003 s
% 0.63/0.82  % (9831)Instructions burned: 3 (million)
% 0.63/0.82  % (9836)------------------------------
% 0.63/0.82  % (9836)------------------------------
% 0.63/0.82  % (9834)------------------------------
% 0.63/0.82  % (9834)------------------------------
% 0.63/0.82  % (9831)------------------------------
% 0.63/0.82  % (9831)------------------------------
% 0.63/0.83  % (9839)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)
% 0.63/0.83  % (9841)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)
% 0.63/0.83  % (9840)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)
% 0.63/0.83  % (9842)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)
% 0.63/0.83  % (9840)Refutation not found, incomplete strategy% (9840)------------------------------
% 0.63/0.83  % (9840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.83  % (9840)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.83  
% 0.63/0.83  % (9840)Memory used [KB]: 956
% 0.63/0.83  % (9840)Time elapsed: 0.003 s
% 0.63/0.83  % (9840)Instructions burned: 2 (million)
% 0.63/0.83  % (9840)------------------------------
% 0.63/0.83  % (9840)------------------------------
% 0.63/0.83  % (9833)First to succeed.
% 0.63/0.83  % (9833)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9829"
% 0.68/0.83  % (9833)Refutation found. Thanks to Tanya!
% 0.68/0.83  % SZS status Theorem for Vampire---4
% 0.68/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.83  % (9833)------------------------------
% 0.68/0.83  % (9833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (9833)Termination reason: Refutation
% 0.68/0.83  
% 0.68/0.83  % (9833)Memory used [KB]: 1084
% 0.68/0.83  % (9833)Time elapsed: 0.010 s
% 0.68/0.83  % (9833)Instructions burned: 14 (million)
% 0.68/0.83  % (9829)Success in time 0.475 s
% 0.68/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------