TSTP Solution File: NUM647_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM647_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 08:13:49 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   22 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  11   ~;   3   |;   0   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (  18   !;   0   ?;  19   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    nat: $tType ).

tff(func_def_0,type,
    x: nat ).

tff(func_def_1,type,
    y: nat ).

tff(func_def_2,type,
    z: nat ).

tff(func_def_3,type,
    pl: ( nat * nat ) > nat ).

tff(pred_def_1,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f37,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f21]) ).

tff(f21,plain,
    ~ sQ0_eqProxy(nat,y,z),
    inference(equality_proxy_replacement,[],[f15,f20]) ).

tff(f20,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f15,plain,
    y != z,
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    y != z,
    inference(flattening,[],[f5]) ).

tff(f5,negated_conjecture,
    ( ~ y = z ),
    inference(negated_conjecture,[],[f4]) ).

tff(f4,conjecture,
    y = z,
    file('/export/starexec/sandbox2/tmp/tmp.HkN7YOvNhj/Vampire---4.8_23908',satz8a) ).

tff(f34,plain,
    sQ0_eqProxy(nat,y,z),
    inference(resolution,[],[f22,f26]) ).

tff(f26,plain,
    sQ0_eqProxy(nat,pl(x,y),pl(x,z)),
    inference(equality_proxy_replacement,[],[f18,f20]) ).

tff(f18,plain,
    pl(x,y) = pl(x,z),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    pl(x,y) = pl(x,z),
    file('/export/starexec/sandbox2/tmp/tmp.HkN7YOvNhj/Vampire---4.8_23908',i) ).

tff(f22,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ~ sQ0_eqProxy(nat,pl(X0,X1),pl(X0,X2))
      | sQ0_eqProxy(nat,X1,X2) ),
    inference(equality_proxy_replacement,[],[f16,f20]) ).

tff(f16,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ( pl(X0,X1) != pl(X0,X2) )
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( pl(X0,X1) != pl(X0,X2) )
      | ( X1 = X2 ) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( X1 != X2 )
     => ( pl(X0,X1) != pl(X0,X2) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X1: nat,X2: nat,X3: nat] :
      ( ( X2 != X3 )
     => ( pl(X1,X2) != pl(X1,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.HkN7YOvNhj/Vampire---4.8_23908',satz8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM647_8 : TPTP v8.1.2. Released v8.0.0.
% 0.12/0.14  % 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
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 15:20:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a TX0_THM_EQU_NAR problem
% 0.15/0.35  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.HkN7YOvNhj/Vampire---4.8_23908
% 0.56/0.73  % (24069)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  % (24071)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)
% 0.56/0.74  % (24069)Refutation not found, incomplete strategy% (24069)------------------------------
% 0.56/0.74  % (24069)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (24071)Refutation not found, incomplete strategy% (24071)------------------------------
% 0.56/0.74  % (24071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (24071)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (24071)Memory used [KB]: 948
% 0.56/0.74  % (24071)Time elapsed: 0.001 s
% 0.56/0.74  % (24071)Instructions burned: 2 (million)
% 0.56/0.74  % (24069)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (24069)Memory used [KB]: 947
% 0.56/0.74  % (24069)Time elapsed: 0.001 s
% 0.56/0.74  % (24069)Instructions burned: 2 (million)
% 0.56/0.74  % (24071)------------------------------
% 0.56/0.74  % (24071)------------------------------
% 0.56/0.74  % (24069)------------------------------
% 0.56/0.74  % (24069)------------------------------
% 0.56/0.74  % (24064)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)
% 0.56/0.74  % (24065)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)
% 0.56/0.74  % (24066)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (24067)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)
% 0.56/0.74  % (24068)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)
% 0.56/0.74  % (24070)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)
% 0.56/0.74  % (24067)Refutation not found, incomplete strategy% (24067)------------------------------
% 0.56/0.74  % (24067)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (24067)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (24067)Memory used [KB]: 947
% 0.56/0.74  % (24067)Time elapsed: 0.002 s
% 0.56/0.74  % (24067)Instructions burned: 2 (million)
% 0.56/0.74  % (24068)Refutation not found, incomplete strategy% (24068)------------------------------
% 0.56/0.74  % (24068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (24068)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (24068)Memory used [KB]: 964
% 0.56/0.74  % (24068)Time elapsed: 0.002 s
% 0.56/0.74  % (24068)Instructions burned: 2 (million)
% 0.56/0.74  % (24064)First to succeed.
% 0.56/0.74  % (24067)------------------------------
% 0.56/0.74  % (24067)------------------------------
% 0.56/0.74  % (24068)------------------------------
% 0.56/0.74  % (24068)------------------------------
% 0.56/0.74  % (24065)Also succeeded, but the first one will report.
% 0.56/0.74  % (24064)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24035"
% 0.56/0.74  % (24072)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)
% 0.56/0.74  % (24066)Also succeeded, but the first one will report.
% 0.56/0.74  % (24073)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)
% 0.56/0.74  % (24064)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  % (24064)------------------------------
% 0.56/0.74  % (24064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (24064)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (24064)Memory used [KB]: 973
% 0.56/0.74  % (24064)Time elapsed: 0.003 s
% 0.56/0.74  % (24064)Instructions burned: 3 (million)
% 0.56/0.74  % (24035)Success in time 0.378 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------