TSTP Solution File: SET618+3 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n010.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 09:07:37 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  15 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f54,plain,
    $false,
    inference(trivial_inequality_removal,[],[f53]) ).

fof(f53,plain,
    empty_set != empty_set,
    inference(superposition,[],[f52,f29]) ).

fof(f29,plain,
    ! [X0] : union(X0,X0) = X0,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] : union(X0,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.rCDepidsrr/Vampire---4.8_20839',idempotency_of_union) ).

fof(f52,plain,
    empty_set != union(empty_set,empty_set),
    inference(forward_demodulation,[],[f47,f30]) ).

fof(f30,plain,
    ! [X0] : difference(X0,X0) = empty_set,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : difference(X0,X0) = empty_set,
    file('/export/starexec/sandbox/tmp/tmp.rCDepidsrr/Vampire---4.8_20839',self_difference_is_empty_set) ).

fof(f47,plain,
    empty_set != union(difference(sK2,sK2),difference(sK2,sK2)),
    inference(definition_unfolding,[],[f45,f28]) ).

fof(f28,plain,
    ! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
    file('/export/starexec/sandbox/tmp/tmp.rCDepidsrr/Vampire---4.8_20839',symmetric_difference_defn) ).

fof(f45,plain,
    empty_set != symmetric_difference(sK2,sK2),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    empty_set != symmetric_difference(sK2,sK2),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f15,f26]) ).

fof(f26,plain,
    ( ? [X0] : empty_set != symmetric_difference(X0,X0)
   => empty_set != symmetric_difference(sK2,sK2) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ? [X0] : empty_set != symmetric_difference(X0,X0),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0] : empty_set = symmetric_difference(X0,X0),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0] : empty_set = symmetric_difference(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.rCDepidsrr/Vampire---4.8_20839',prove_th93) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 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
% 0.15/0.36  % Computer : n010.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 16:34:38 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.rCDepidsrr/Vampire---4.8_20839
% 0.55/0.75  % (21258)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)
% 0.55/0.75  % (21258)Refutation not found, incomplete strategy% (21258)------------------------------
% 0.55/0.75  % (21258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21258)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (21258)Memory used [KB]: 955
% 0.55/0.75  % (21258)Time elapsed: 0.002 s
% 0.55/0.75  % (21258)Instructions burned: 2 (million)
% 0.55/0.75  % (21251)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)
% 0.55/0.75  % (21253)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (21252)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)
% 0.55/0.75  % (21254)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)
% 0.55/0.75  % (21258)------------------------------
% 0.55/0.75  % (21258)------------------------------
% 0.55/0.75  % (21255)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)
% 0.55/0.75  % (21256)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)
% 0.55/0.75  % (21257)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)
% 0.55/0.75  % (21254)Refutation not found, incomplete strategy% (21254)------------------------------
% 0.55/0.75  % (21254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21254)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (21254)Memory used [KB]: 952
% 0.55/0.75  % (21254)Time elapsed: 0.002 s
% 0.55/0.75  % (21254)Instructions burned: 2 (million)
% 0.55/0.75  % (21256)Refutation not found, incomplete strategy% (21256)------------------------------
% 0.55/0.75  % (21256)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21256)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (21256)Memory used [KB]: 954
% 0.55/0.75  % (21256)Time elapsed: 0.002 s
% 0.55/0.75  % (21256)Instructions burned: 2 (million)
% 0.55/0.75  % (21254)------------------------------
% 0.55/0.75  % (21254)------------------------------
% 0.55/0.75  % (21252)First to succeed.
% 0.55/0.75  % (21253)Also succeeded, but the first one will report.
% 0.55/0.75  % (21257)Also succeeded, but the first one will report.
% 0.55/0.75  % (21256)------------------------------
% 0.55/0.75  % (21256)------------------------------
% 0.55/0.75  % (21251)Refutation not found, incomplete strategy% (21251)------------------------------
% 0.55/0.75  % (21251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21251)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (21251)Memory used [KB]: 973
% 0.55/0.75  % (21251)Time elapsed: 0.003 s
% 0.55/0.75  % (21251)Instructions burned: 3 (million)
% 0.55/0.75  % (21255)Refutation not found, incomplete strategy% (21255)------------------------------
% 0.55/0.75  % (21255)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21255)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (21255)Memory used [KB]: 975
% 0.55/0.75  % (21255)Time elapsed: 0.003 s
% 0.55/0.75  % (21255)Instructions burned: 3 (million)
% 0.55/0.75  % (21251)------------------------------
% 0.55/0.75  % (21251)------------------------------
% 0.55/0.75  % (21252)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21104"
% 0.55/0.75  % (21255)------------------------------
% 0.55/0.75  % (21255)------------------------------
% 0.55/0.75  % (21262)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)
% 0.55/0.75  % (21252)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (21252)------------------------------
% 0.55/0.75  % (21252)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21252)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (21252)Memory used [KB]: 968
% 0.55/0.75  % (21252)Time elapsed: 0.003 s
% 0.55/0.75  % (21252)Instructions burned: 3 (million)
% 0.55/0.75  % (21104)Success in time 0.382 s
% 0.65/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------