TSTP Solution File: SET025+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET025+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n003.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 03:44:16 EDT 2024

% Result   : Theorem 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  14 unt;   0 def)
%            Number of atoms       :   16 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (  16   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f267,plain,
    $false,
    inference(resolution,[],[f146,f260]) ).

fof(f260,plain,
    ~ member(unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))),universal_class),
    inference(definition_unfolding,[],[f222,f223]) ).

fof(f223,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f148,f147,f147]) ).

fof(f147,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.ssNLWV5fYU/Vampire---4.8_14091',singleton_set_defn) ).

fof(f148,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
    file('/export/starexec/sandbox2/tmp/tmp.ssNLWV5fYU/Vampire---4.8_14091',ordered_pair_defn) ).

fof(f222,plain,
    ~ member(ordered_pair(sK6,sK7),universal_class),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ~ member(ordered_pair(sK6,sK7),universal_class),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f84,f133]) ).

fof(f133,plain,
    ( ? [X0,X1] : ~ member(ordered_pair(X0,X1),universal_class)
   => ~ member(ordered_pair(sK6,sK7),universal_class) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ? [X0,X1] : ~ member(ordered_pair(X0,X1),universal_class),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1] : member(ordered_pair(X0,X1),universal_class),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0,X1] : member(ordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.ssNLWV5fYU/Vampire---4.8_14091',ordered_pair_is_set) ).

fof(f146,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.ssNLWV5fYU/Vampire---4.8_14091',unordered_pair) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SET025+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.12  % 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
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 17:27:03 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.ssNLWV5fYU/Vampire---4.8_14091
% 0.62/0.80  % (14205)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80  % (14202)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 (2995ds/34Mi)
% 0.62/0.80  % (14204)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (14203)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 (2995ds/51Mi)
% 0.62/0.80  % (14206)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 (2995ds/34Mi)
% 0.62/0.80  % (14207)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80  % (14208)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 (2995ds/83Mi)
% 0.62/0.80  % (14209)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 (2995ds/56Mi)
% 0.62/0.80  % (14207)Refutation not found, incomplete strategy% (14207)------------------------------
% 0.62/0.80  % (14207)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (14207)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (14207)Memory used [KB]: 1035
% 0.62/0.80  % (14207)Time elapsed: 0.002 s
% 0.62/0.80  % (14207)Instructions burned: 2 (million)
% 0.62/0.80  % (14207)------------------------------
% 0.62/0.80  % (14207)------------------------------
% 0.62/0.80  % (14209)Refutation not found, incomplete strategy% (14209)------------------------------
% 0.62/0.80  % (14209)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (14209)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (14209)Memory used [KB]: 1035
% 0.62/0.80  % (14209)Time elapsed: 0.002 s
% 0.62/0.80  % (14209)Instructions burned: 2 (million)
% 0.62/0.80  % (14209)------------------------------
% 0.62/0.80  % (14209)------------------------------
% 0.62/0.80  % (14204)Refutation not found, incomplete strategy% (14204)------------------------------
% 0.62/0.80  % (14204)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (14204)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (14204)Memory used [KB]: 1048
% 0.62/0.80  % (14204)Time elapsed: 0.003 s
% 0.62/0.80  % (14204)Instructions burned: 2 (million)
% 0.62/0.80  % (14204)------------------------------
% 0.62/0.80  % (14204)------------------------------
% 0.62/0.80  % (14202)Refutation not found, incomplete strategy% (14202)------------------------------
% 0.62/0.80  % (14202)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (14202)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (14202)Memory used [KB]: 1071
% 0.62/0.80  % (14202)Time elapsed: 0.004 s
% 0.62/0.80  % (14202)Instructions burned: 4 (million)
% 0.62/0.80  % (14202)------------------------------
% 0.62/0.80  % (14202)------------------------------
% 0.62/0.80  % (14203)First to succeed.
% 0.62/0.80  % (14210)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 (2995ds/55Mi)
% 0.62/0.80  % (14211)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 (2995ds/50Mi)
% 0.62/0.80  % (14203)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Theorem for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (14203)------------------------------
% 0.62/0.80  % (14203)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (14203)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (14203)Memory used [KB]: 1115
% 0.62/0.80  % (14203)Time elapsed: 0.006 s
% 0.62/0.80  % (14203)Instructions burned: 8 (million)
% 0.62/0.80  % (14203)------------------------------
% 0.62/0.80  % (14203)------------------------------
% 0.62/0.80  % (14198)Success in time 0.477 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------