TSTP Solution File: NUM713_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM713_8 : TPTP v8.2.0. 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 : n013.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 : Tue May 21 01:45:11 EDT 2024

% Result   : Theorem 0.69s 0.88s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   27 (  19 unt;   7 typ;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (  12   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (  24   !;   2   ?;  26   :)

% 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(func_def_4,type,
    ts: ( nat * nat ) > nat ).

tff(func_def_7,type,
    sK0: nat ).

tff(f51,plain,
    $false,
    inference(trivial_inequality_removal,[],[f50]) ).

tff(f50,plain,
    ts(x,z) != ts(x,z),
    inference(superposition,[],[f48,f21]) ).

tff(f21,plain,
    ! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X2: nat,X3: nat] : ( ts(X2,X3) = ts(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz29) ).

tff(f48,plain,
    ts(x,z) != ts(z,x),
    inference(superposition,[],[f47,f19]) ).

tff(f19,plain,
    x = pl(y,sK0),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    x = pl(y,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f17]) ).

tff(f17,plain,
    ( ? [X0: nat] : ( x = pl(y,X0) )
   => ( x = pl(y,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: nat] : ( x = pl(y,X0) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f1,axiom,
    ~ ! [X0: nat] : ( x != pl(y,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).

tff(f47,plain,
    ! [X0: nat] : ( ts(x,z) != ts(z,pl(y,X0)) ),
    inference(superposition,[],[f23,f38]) ).

tff(f38,plain,
    ! [X2: nat,X0: nat,X1: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X1,X0),ts(X0,X2)) ),
    inference(superposition,[],[f22,f21]) ).

tff(f22,plain,
    ! [X2: nat,X0: nat,X1: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ! [X0: nat,X1: nat,X2: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X2: nat,X3: nat,X4: nat] : ( ts(X2,pl(X3,X4)) = pl(ts(X2,X3),ts(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz30) ).

tff(f23,plain,
    ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
    inference(flattening,[],[f6]) ).

tff(f6,negated_conjecture,
    ~ ~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
    inference(negated_conjecture,[],[f5]) ).

tff(f5,conjecture,
    ~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz32a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM713_8 : TPTP v8.2.0. Released v8.0.0.
% 0.13/0.14  % 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
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 05:03:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TX0_THM_EQU_NAR 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/benchmark/theBenchmark.p
% 0.69/0.87  % (26701)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.69/0.87  % (26699)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 (2994ds/34Mi)
% 0.69/0.87  % (26700)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 (2994ds/51Mi)
% 0.69/0.87  % (26702)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.69/0.87  % (26703)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 (2994ds/34Mi)
% 0.69/0.87  % (26704)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.69/0.88  % (26705)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 (2994ds/83Mi)
% 0.69/0.88  % (26706)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 (2994ds/56Mi)
% 0.69/0.88  % (26699)Refutation not found, incomplete strategy% (26699)------------------------------
% 0.69/0.88  % (26699)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (26702)Refutation not found, incomplete strategy% (26702)------------------------------
% 0.69/0.88  % (26702)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (26702)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (26702)Memory used [KB]: 954
% 0.69/0.88  % (26702)Time elapsed: 0.002 s
% 0.69/0.88  % (26702)Instructions burned: 2 (million)
% 0.69/0.88  % (26699)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (26699)Memory used [KB]: 966
% 0.69/0.88  % (26699)Time elapsed: 0.003 s
% 0.69/0.88  % (26699)Instructions burned: 2 (million)
% 0.69/0.88  % (26703)Refutation not found, incomplete strategy% (26703)------------------------------
% 0.69/0.88  % (26703)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (26704)Refutation not found, incomplete strategy% (26704)------------------------------
% 0.69/0.88  % (26704)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (26704)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (26704)Memory used [KB]: 953
% 0.69/0.88  % (26704)Time elapsed: 0.002 s
% 0.69/0.88  % (26704)Instructions burned: 2 (million)
% 0.69/0.88  % (26703)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (26703)Memory used [KB]: 966
% 0.69/0.88  % (26703)Time elapsed: 0.003 s
% 0.69/0.88  % (26703)Instructions burned: 2 (million)
% 0.69/0.88  % (26702)------------------------------
% 0.69/0.88  % (26702)------------------------------
% 0.69/0.88  % (26706)Refutation not found, incomplete strategy% (26706)------------------------------
% 0.69/0.88  % (26706)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (26706)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (26706)Memory used [KB]: 951
% 0.69/0.88  % (26705)Refutation not found, incomplete strategy% (26705)------------------------------
% 0.69/0.88  % (26705)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (26706)Time elapsed: 0.002 s
% 0.69/0.88  % (26705)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (26706)Instructions burned: 2 (million)
% 0.69/0.88  % (26705)Memory used [KB]: 952
% 0.69/0.88  % (26705)Time elapsed: 0.003 s
% 0.69/0.88  % (26705)Instructions burned: 2 (million)
% 0.69/0.88  % (26699)------------------------------
% 0.69/0.88  % (26699)------------------------------
% 0.69/0.88  % (26704)------------------------------
% 0.69/0.88  % (26704)------------------------------
% 0.69/0.88  % (26703)------------------------------
% 0.69/0.88  % (26703)------------------------------
% 0.69/0.88  % (26705)------------------------------
% 0.69/0.88  % (26705)------------------------------
% 0.69/0.88  % (26706)------------------------------
% 0.69/0.88  % (26706)------------------------------
% 0.69/0.88  % (26700)First to succeed.
% 0.69/0.88  % (26701)Also succeeded, but the first one will report.
% 0.69/0.88  % (26700)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26698"
% 0.69/0.88  % (26700)Refutation found. Thanks to Tanya!
% 0.69/0.88  % SZS status Theorem for theBenchmark
% 0.69/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 0.69/0.88  % (26700)------------------------------
% 0.69/0.88  % (26700)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (26700)Termination reason: Refutation
% 0.69/0.88  
% 0.69/0.88  % (26700)Memory used [KB]: 983
% 0.69/0.88  % (26700)Time elapsed: 0.004 s
% 0.69/0.88  % (26700)Instructions burned: 4 (million)
% 0.69/0.88  % (26698)Success in time 0.509 s
% 0.75/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------