TSTP Solution File: SWV377+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV377+1 : TPTP v8.1.2. Released 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 : n015.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 10:29:23 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   31 (   6 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  15   ~;   2   |;   4   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   44 (  36   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,plain,
    $false,
    inference(resolution,[],[f154,f139]) ).

fof(f139,plain,
    ok(insert_cpq(triple(sK0,sK1,bad),sK3)),
    inference(backward_demodulation,[],[f89,f136]) ).

fof(f136,plain,
    bad = sK2,
    inference(resolution,[],[f92,f88]) ).

fof(f88,plain,
    ~ ok(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & ~ ok(triple(sK0,sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f83]) ).

fof(f83,plain,
    ( ? [X0,X1,X2,X3] :
        ( ok(insert_cpq(triple(X0,X1,X2),X3))
        & ~ ok(triple(X0,X1,X2)) )
   => ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
      & ~ ok(triple(sK0,sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ? [X0,X1,X2,X3] :
      ( ok(insert_cpq(triple(X0,X1,X2),X3))
      & ~ ok(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ~ ok(triple(X0,X1,X2))
       => ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X0,X1,X2,X3] :
      ( ~ ok(triple(X0,X1,X2))
     => ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.RW2ViWuYah/Vampire---4.8_30822',l13_co) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ok(triple(X0,X1,X2))
      | bad = X2 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( bad = X2
      | ok(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1,X2] :
      ( ~ ok(triple(X0,X1,X2))
     => bad = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.RW2ViWuYah/Vampire---4.8_30822',ax41) ).

fof(f89,plain,
    ok(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f84]) ).

fof(f154,plain,
    ! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1)),
    inference(superposition,[],[f93,f90]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    file('/export/starexec/sandbox/tmp/tmp.RW2ViWuYah/Vampire---4.8_30822',ax42) ).

fof(f93,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox/tmp/tmp.RW2ViWuYah/Vampire---4.8_30822',ax40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n015.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   : Fri May  3 20:55:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.RW2ViWuYah/Vampire---4.8_30822
% 0.56/0.74  % (31060)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  % (31054)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  % (31056)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  % (31055)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  % (31057)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  % (31059)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  % (31061)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  % (31060)Refutation not found, incomplete strategy% (31060)------------------------------
% 0.56/0.74  % (31060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (31060)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (31060)Memory used [KB]: 1058
% 0.56/0.74  % (31060)Time elapsed: 0.002 s
% 0.56/0.74  % (31060)Instructions burned: 4 (million)
% 0.56/0.74  % (31060)------------------------------
% 0.56/0.74  % (31060)------------------------------
% 0.56/0.75  % (31061)Refutation not found, incomplete strategy% (31061)------------------------------
% 0.56/0.75  % (31061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (31061)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (31054)Refutation not found, incomplete strategy% (31054)------------------------------
% 0.56/0.75  % (31054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (31061)Memory used [KB]: 1047
% 0.56/0.75  % (31054)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (31054)Memory used [KB]: 1065
% 0.56/0.75  % (31054)Time elapsed: 0.003 s
% 0.56/0.75  % (31054)Instructions burned: 2 (million)
% 0.56/0.75  % (31061)Time elapsed: 0.003 s
% 0.56/0.75  % (31061)Instructions burned: 2 (million)
% 0.56/0.75  % (31057)Refutation not found, incomplete strategy% (31057)------------------------------
% 0.56/0.75  % (31057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (31057)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (31057)Memory used [KB]: 1060
% 0.56/0.75  % (31057)Time elapsed: 0.003 s
% 0.56/0.75  % (31057)Instructions burned: 2 (million)
% 0.56/0.75  % (31054)------------------------------
% 0.56/0.75  % (31054)------------------------------
% 0.56/0.75  % (31059)Refutation not found, incomplete strategy% (31059)------------------------------
% 0.56/0.75  % (31059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (31059)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (31059)Memory used [KB]: 1054
% 0.56/0.75  % (31059)Time elapsed: 0.003 s
% 0.56/0.75  % (31059)Instructions burned: 3 (million)
% 0.56/0.75  % (31061)------------------------------
% 0.56/0.75  % (31061)------------------------------
% 0.56/0.75  % (31057)------------------------------
% 0.56/0.75  % (31057)------------------------------
% 0.56/0.75  % (31059)------------------------------
% 0.56/0.75  % (31059)------------------------------
% 0.56/0.75  % (31058)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  % (31058)Refutation not found, incomplete strategy% (31058)------------------------------
% 0.56/0.75  % (31058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (31058)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (31058)Memory used [KB]: 1066
% 0.56/0.75  % (31058)Time elapsed: 0.003 s
% 0.56/0.75  % (31058)Instructions burned: 4 (million)
% 0.56/0.75  % (31058)------------------------------
% 0.56/0.75  % (31058)------------------------------
% 0.56/0.75  % (31056)First to succeed.
% 0.56/0.75  % (31056)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31050"
% 0.56/0.75  % (31064)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)
% 0.56/0.75  % (31062)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)
% 0.56/0.75  % (31056)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (31056)------------------------------
% 0.56/0.75  % (31056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (31056)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (31056)Memory used [KB]: 1100
% 0.56/0.75  % (31056)Time elapsed: 0.007 s
% 0.56/0.75  % (31056)Instructions burned: 8 (million)
% 0.56/0.75  % (31050)Success in time 0.379 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------