TSTP Solution File: NUM688_8 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM688_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 03:33:23 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   48 (   9 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   43 (  19   ~;  15   |;   0   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?;  43   :)

% 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,
    u: nat ).

tff(func_def_4,type,
    pl: ( nat * nat ) > nat ).

tff(pred_def_1,type,
    more: ( nat * nat ) > $o ).

tff(f34,plain,
    $false,
    inference(unit_resulting_resolution,[],[f20,f30,f24]) ).

tff(f24,plain,
    ! [X2: nat,X3: nat,X1: nat] :
      ( more(pl(X2,X1),pl(X3,X1))
      | ~ more(X2,X3) ),
    inference(equality_resolution,[],[f23]) ).

tff(f23,plain,
    ! [X2: nat,X3: nat,X0: nat,X1: nat] :
      ( ( X0 != X1 )
      | ~ more(X2,X3)
      | more(pl(X2,X0),pl(X3,X1)) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( more(pl(X2,X0),pl(X3,X1))
      | ~ more(X2,X3)
      | ( X0 != X1 ) ),
    inference(flattening,[],[f16]) ).

tff(f16,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( more(pl(X2,X0),pl(X3,X1))
      | ~ more(X2,X3)
      | ( X0 != X1 ) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ( X0 = X1 )
     => ( more(X2,X3)
       => more(pl(X2,X0),pl(X3,X1)) ) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X1: nat,X2: nat,X3: nat,X4: nat] :
      ( ( X1 = X2 )
     => ( more(X3,X4)
       => more(pl(X3,X1),pl(X4,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8iuR7vxE6N/Vampire---4.8_5999',satz19h) ).

tff(f30,plain,
    ~ more(pl(x,z),pl(y,z)),
    inference(superposition,[],[f19,f27]) ).

tff(f27,plain,
    z = u,
    inference(unit_resulting_resolution,[],[f25,f21]) ).

tff(f21,plain,
    ( more(z,u)
    | ( z = u ) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ( ( z = u )
    | more(z,u) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,axiom,
    ( ~ more(z,u)
   => ( z = u ) ),
    file('/export/starexec/sandbox/tmp/tmp.8iuR7vxE6N/Vampire---4.8_5999',n) ).

tff(f25,plain,
    ~ more(z,u),
    inference(unit_resulting_resolution,[],[f20,f19,f22]) ).

tff(f22,plain,
    ! [X2: nat,X3: nat,X0: nat,X1: nat] :
      ( more(pl(X0,X2),pl(X1,X3))
      | ~ more(X2,X3)
      | ~ more(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( more(pl(X0,X2),pl(X1,X3))
      | ~ more(X2,X3)
      | ~ more(X0,X1) ),
    inference(flattening,[],[f14]) ).

tff(f14,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( more(pl(X0,X2),pl(X1,X3))
      | ~ more(X2,X3)
      | ~ more(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f9,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( more(X0,X1)
     => ( more(X2,X3)
       => more(pl(X0,X2),pl(X1,X3)) ) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X1: nat,X2: nat,X3: nat,X4: nat] :
      ( more(X1,X2)
     => ( more(X3,X4)
       => more(pl(X1,X3),pl(X2,X4)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8iuR7vxE6N/Vampire---4.8_5999',satz21) ).

tff(f19,plain,
    ~ more(pl(x,z),pl(y,u)),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    ~ more(pl(x,z),pl(y,u)),
    inference(flattening,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ more(pl(x,z),pl(y,u)),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    more(pl(x,z),pl(y,u)),
    file('/export/starexec/sandbox/tmp/tmp.8iuR7vxE6N/Vampire---4.8_5999',satz22b) ).

tff(f20,plain,
    more(x,y),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    more(x,y),
    file('/export/starexec/sandbox/tmp/tmp.8iuR7vxE6N/Vampire---4.8_5999',m) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM688_8 : TPTP v8.1.2. Released v8.0.0.
% 0.14/0.14  % 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
% 0.14/0.35  % Computer : n008.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 16:58:42 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TX0_THM_EQU_NAR problem
% 0.14/0.35  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.8iuR7vxE6N/Vampire---4.8_5999
% 0.56/0.74  % (6258)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  % (6259)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  % (6252)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  % (6254)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  % (6258)First to succeed.
% 0.56/0.74  % (6255)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  % (6253)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  % (6256)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  % (6257)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)
% 0.56/0.74  % (6259)Refutation not found, incomplete strategy% (6259)------------------------------
% 0.56/0.74  % (6259)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (6259)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (6259)Memory used [KB]: 964
% 0.56/0.74  % (6259)Time elapsed: 0.003 s
% 0.56/0.74  % (6259)Instructions burned: 2 (million)
% 0.56/0.74  % (6259)------------------------------
% 0.56/0.74  % (6259)------------------------------
% 0.56/0.74  % (6258)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  % (6258)------------------------------
% 0.56/0.74  % (6258)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (6258)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (6258)Memory used [KB]: 974
% 0.56/0.74  % (6258)Time elapsed: 0.002 s
% 0.56/0.74  % (6258)Instructions burned: 3 (million)
% 0.56/0.74  % (6258)------------------------------
% 0.56/0.74  % (6258)------------------------------
% 0.56/0.74  % (6248)Success in time 0.386 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------