TSTP Solution File: SWV050+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV050+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n012.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 10:27:50 EDT 2024

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  20 unt;   0 def)
%            Number of atoms       :   58 (  44 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   41 (  15   ~;  11   |;  10   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  15 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f278,plain,
    $false,
    inference(avatar_sat_refutation,[],[f245,f246,f247,f277]) ).

fof(f277,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f276]) ).

fof(f276,plain,
    ( $false
    | spl1_1 ),
    inference(subsumption_resolution,[],[f275,f141]) ).

fof(f141,plain,
    ! [X0] : n0 = sum(n0,tptp_minus_1,X0),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] : n0 = sum(n0,tptp_minus_1,X0),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X22] : n0 = sum(n0,tptp_minus_1,X22),
    file('/export/starexec/sandbox/tmp/tmp.ikSMT6bUxf/Vampire---4.8_22837',sum_plus_base) ).

fof(f275,plain,
    ( n0 != sum(n0,tptp_minus_1,divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
    | spl1_1 ),
    inference(backward_demodulation,[],[f236,f273]) ).

fof(f273,plain,
    tptp_minus_1 = minus(n0,n1),
    inference(superposition,[],[f229,f217]) ).

fof(f217,plain,
    n0 = plus(n1,tptp_minus_1),
    inference(definition_unfolding,[],[f176,f153]) ).

fof(f153,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox/tmp/tmp.ikSMT6bUxf/Vampire---4.8_22837',succ_plus_1_l) ).

fof(f176,plain,
    n0 = succ(tptp_minus_1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    n0 = succ(tptp_minus_1),
    file('/export/starexec/sandbox/tmp/tmp.ikSMT6bUxf/Vampire---4.8_22837',succ_tptp_minus_1) ).

fof(f229,plain,
    ! [X0] : minus(plus(n1,X0),n1) = X0,
    inference(definition_unfolding,[],[f203,f163,f153]) ).

fof(f163,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox/tmp/tmp.ikSMT6bUxf/Vampire---4.8_22837',pred_minus_1) ).

fof(f203,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox/tmp/tmp.ikSMT6bUxf/Vampire---4.8_22837',pred_succ) ).

fof(f236,plain,
    ( n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
    | spl1_1 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl1_1
  <=> n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f247,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f131,f238]) ).

fof(f238,plain,
    ( spl1_2
  <=> pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f131,plain,
    pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ( ( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
      | pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
      | n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) )
    & pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
    & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ( ( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
      | pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
      | n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) )
    & pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
    & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
        & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
     => ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
        & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
        & n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
      & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
   => ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
      & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
      & n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ikSMT6bUxf/Vampire---4.8_22837',cl5_nebula_norm_0022) ).

fof(f246,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f132,f242]) ).

fof(f242,plain,
    ( spl1_3
  <=> pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f132,plain,
    pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))),
    inference(cnf_transformation,[],[f95]) ).

fof(f245,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | ~ spl1_3 ),
    inference(avatar_split_clause,[],[f133,f242,f238,f234]) ).

fof(f133,plain,
    ( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
    | pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
    | n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ),
    inference(cnf_transformation,[],[f95]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV050+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.15  % 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 : n012.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   : Fri May  3 20:56:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ 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/tmp/tmp.ikSMT6bUxf/Vampire---4.8_22837
% 0.56/0.75  % (23112)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)
% 0.56/0.75  % (23105)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)
% 0.56/0.75  % (23106)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)
% 0.56/0.75  % (23107)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (23109)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)
% 0.56/0.75  % (23110)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)
% 0.56/0.75  % (23108)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)
% 0.56/0.75  % (23112)Refutation not found, incomplete strategy% (23112)------------------------------
% 0.56/0.75  % (23112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (23112)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (23112)Memory used [KB]: 1130
% 0.56/0.75  % (23112)Time elapsed: 0.004 s
% 0.56/0.75  % (23112)Instructions burned: 7 (million)
% 0.56/0.75  % (23112)------------------------------
% 0.56/0.75  % (23112)------------------------------
% 0.56/0.75  % (23105)Refutation not found, incomplete strategy% (23105)------------------------------
% 0.56/0.75  % (23105)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (23105)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (23105)Memory used [KB]: 1101
% 0.56/0.75  % (23105)Time elapsed: 0.005 s
% 0.56/0.75  % (23105)Instructions burned: 6 (million)
% 0.56/0.75  % (23113)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)
% 0.56/0.75  % (23105)------------------------------
% 0.56/0.75  % (23105)------------------------------
% 0.56/0.75  % (23110)Refutation not found, incomplete strategy% (23110)------------------------------
% 0.56/0.75  % (23110)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (23110)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (23110)Memory used [KB]: 1136
% 0.56/0.75  % (23110)Time elapsed: 0.006 s
% 0.56/0.75  % (23110)Instructions burned: 7 (million)
% 0.56/0.76  % (23110)------------------------------
% 0.56/0.76  % (23110)------------------------------
% 0.56/0.76  % (23114)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 (2996ds/55Mi)
% 0.56/0.76  % (23108)Refutation not found, incomplete strategy% (23108)------------------------------
% 0.56/0.76  % (23108)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (23108)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (23108)Memory used [KB]: 1118
% 0.56/0.76  % (23108)Time elapsed: 0.007 s
% 0.56/0.76  % (23108)Instructions burned: 7 (million)
% 0.56/0.76  % (23108)------------------------------
% 0.56/0.76  % (23108)------------------------------
% 0.56/0.76  % (23115)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 (2996ds/50Mi)
% 0.56/0.76  % (23107)First to succeed.
% 0.56/0.76  % (23116)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 (2996ds/208Mi)
% 0.56/0.76  % (23107)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23101"
% 0.56/0.76  % (23107)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Theorem for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (23107)------------------------------
% 0.56/0.76  % (23107)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (23107)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (23107)Memory used [KB]: 1182
% 0.56/0.76  % (23107)Time elapsed: 0.011 s
% 0.56/0.76  % (23107)Instructions burned: 13 (million)
% 0.56/0.76  % (23101)Success in time 0.39 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------