TSTP Solution File: SEU105+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU105+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : 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 : Sun May 5 09:20:16 EDT 2024
% Result : Theorem 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 58 ( 12 unt; 0 def)
% Number of atoms : 168 ( 4 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 183 ( 73 ~; 60 |; 31 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 61 ( 52 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f280,plain,
$false,
inference(avatar_sat_refutation,[],[f192,f249,f264,f271,f278]) ).
fof(f278,plain,
( spl12_2
| ~ spl12_8 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| spl12_2
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f276,f195]) ).
fof(f195,plain,
element(sK3(sK0),sK0),
inference(resolution,[],[f181,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.vGCppIrGcw/Vampire---4.8_9696',t1_subset) ).
fof(f181,plain,
in(sK3(sK0),sK0),
inference(resolution,[],[f104,f121]) ).
fof(f121,plain,
! [X0] :
( preboolean(X0)
| in(sK3(X0),X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( preboolean(X0)
| ( ( ~ in(set_difference(sK3(X0),sK4(X0)),X0)
| ~ in(set_union2(sK3(X0),sK4(X0)),X0) )
& in(sK4(X0),X0)
& in(sK3(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f68,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X1,X2] :
( ( ~ in(set_difference(X1,X2),X0)
| ~ in(set_union2(X1,X2),X0) )
& in(X2,X0)
& in(X1,X0) )
=> ( ( ~ in(set_difference(sK3(X0),sK4(X0)),X0)
| ~ in(set_union2(sK3(X0),sK4(X0)),X0) )
& in(sK4(X0),X0)
& in(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( preboolean(X0)
| ? [X1,X2] :
( ( ~ in(set_difference(X1,X2),X0)
| ~ in(set_union2(X1,X2),X0) )
& in(X2,X0)
& in(X1,X0) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( preboolean(X0)
| ? [X1,X2] :
( ( ~ in(set_difference(X1,X2),X0)
| ~ in(set_union2(X1,X2),X0) )
& in(X2,X0)
& in(X1,X0) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( ( in(X2,X0)
& in(X1,X0) )
=> ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) )
=> preboolean(X0) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(X2,X0)
& in(X1,X0) )
=> ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vGCppIrGcw/Vampire---4.8_9696',t10_finsub_1) ).
fof(f104,plain,
~ preboolean(sK0),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ~ preboolean(sK0)
& ! [X1] :
( ! [X2] :
( ( in(set_intersection2(X1,X2),sK0)
& in(symmetric_difference(X1,X2),sK0) )
| ~ element(X2,sK0) )
| ~ element(X1,sK0) )
& ~ empty(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f54,f81]) ).
fof(f81,plain,
( ? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ! [X2] :
( ( in(set_intersection2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ empty(X0) )
=> ( ~ preboolean(sK0)
& ! [X1] :
( ! [X2] :
( ( in(set_intersection2(X1,X2),sK0)
& in(symmetric_difference(X1,X2),sK0) )
| ~ element(X2,sK0) )
| ~ element(X1,sK0) )
& ~ empty(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ! [X2] :
( ( in(set_intersection2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ empty(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ! [X2] :
( ( in(set_intersection2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ empty(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(set_intersection2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(set_intersection2(X1,X2),X0)
& in(symmetric_difference(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.vGCppIrGcw/Vampire---4.8_9696',t16_finsub_1) ).
fof(f276,plain,
( ~ element(sK3(sK0),sK0)
| spl12_2
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f274,f247]) ).
fof(f247,plain,
( element(set_intersection2(sK3(sK0),sK4(sK0)),sK0)
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl12_8
<=> element(set_intersection2(sK3(sK0),sK4(sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f274,plain,
( ~ element(set_intersection2(sK3(sK0),sK4(sK0)),sK0)
| ~ element(sK3(sK0),sK0)
| spl12_2 ),
inference(resolution,[],[f191,f102]) ).
fof(f102,plain,
! [X2,X1] :
( in(symmetric_difference(X1,X2),sK0)
| ~ element(X2,sK0)
| ~ element(X1,sK0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f191,plain,
( ~ in(symmetric_difference(sK3(sK0),set_intersection2(sK3(sK0),sK4(sK0))),sK0)
| spl12_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl12_2
<=> in(symmetric_difference(sK3(sK0),set_intersection2(sK3(sK0),sK4(sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f271,plain,
spl12_8,
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| spl12_8 ),
inference(subsumption_resolution,[],[f269,f207]) ).
fof(f207,plain,
element(sK4(sK0),sK0),
inference(resolution,[],[f182,f109]) ).
fof(f182,plain,
in(sK4(sK0),sK0),
inference(resolution,[],[f104,f122]) ).
fof(f122,plain,
! [X0] :
( preboolean(X0)
| in(sK4(X0),X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f269,plain,
( ~ element(sK4(sK0),sK0)
| spl12_8 ),
inference(subsumption_resolution,[],[f267,f195]) ).
fof(f267,plain,
( ~ element(sK3(sK0),sK0)
| ~ element(sK4(sK0),sK0)
| spl12_8 ),
inference(resolution,[],[f248,f213]) ).
fof(f213,plain,
! [X0,X1] :
( element(set_intersection2(X1,X0),sK0)
| ~ element(X1,sK0)
| ~ element(X0,sK0) ),
inference(resolution,[],[f103,f109]) ).
fof(f103,plain,
! [X2,X1] :
( in(set_intersection2(X1,X2),sK0)
| ~ element(X2,sK0)
| ~ element(X1,sK0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f248,plain,
( ~ element(set_intersection2(sK3(sK0),sK4(sK0)),sK0)
| spl12_8 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f264,plain,
spl12_7,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl12_7 ),
inference(subsumption_resolution,[],[f262,f207]) ).
fof(f262,plain,
( ~ element(sK4(sK0),sK0)
| spl12_7 ),
inference(subsumption_resolution,[],[f260,f195]) ).
fof(f260,plain,
( ~ element(sK3(sK0),sK0)
| ~ element(sK4(sK0),sK0)
| spl12_7 ),
inference(resolution,[],[f244,f201]) ).
fof(f201,plain,
! [X0,X1] :
( element(symmetric_difference(X1,X0),sK0)
| ~ element(X1,sK0)
| ~ element(X0,sK0) ),
inference(resolution,[],[f102,f109]) ).
fof(f244,plain,
( ~ element(symmetric_difference(sK3(sK0),sK4(sK0)),sK0)
| spl12_7 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl12_7
<=> element(symmetric_difference(sK3(sK0),sK4(sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f249,plain,
( ~ spl12_7
| ~ spl12_8
| spl12_1 ),
inference(avatar_split_clause,[],[f239,f185,f246,f242]) ).
fof(f185,plain,
( spl12_1
<=> in(symmetric_difference(symmetric_difference(sK3(sK0),sK4(sK0)),set_intersection2(sK3(sK0),sK4(sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f239,plain,
( ~ element(set_intersection2(sK3(sK0),sK4(sK0)),sK0)
| ~ element(symmetric_difference(sK3(sK0),sK4(sK0)),sK0)
| spl12_1 ),
inference(resolution,[],[f187,f102]) ).
fof(f187,plain,
( ~ in(symmetric_difference(symmetric_difference(sK3(sK0),sK4(sK0)),set_intersection2(sK3(sK0),sK4(sK0))),sK0)
| spl12_1 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f192,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f183,f189,f185]) ).
fof(f183,plain,
( ~ in(symmetric_difference(sK3(sK0),set_intersection2(sK3(sK0),sK4(sK0))),sK0)
| ~ in(symmetric_difference(symmetric_difference(sK3(sK0),sK4(sK0)),set_intersection2(sK3(sK0),sK4(sK0))),sK0) ),
inference(resolution,[],[f104,f156]) ).
fof(f156,plain,
! [X0] :
( preboolean(X0)
| ~ in(symmetric_difference(sK3(X0),set_intersection2(sK3(X0),sK4(X0))),X0)
| ~ in(symmetric_difference(symmetric_difference(sK3(X0),sK4(X0)),set_intersection2(sK3(X0),sK4(X0))),X0) ),
inference(definition_unfolding,[],[f123,f152,f117]) ).
fof(f117,plain,
! [X0,X1] : set_union2(X0,X1) = symmetric_difference(symmetric_difference(X0,X1),set_intersection2(X0,X1)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] : set_union2(X0,X1) = symmetric_difference(symmetric_difference(X0,X1),set_intersection2(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.vGCppIrGcw/Vampire---4.8_9696',t94_xboole_1) ).
fof(f152,plain,
! [X0,X1] : set_difference(X0,X1) = symmetric_difference(X0,set_intersection2(X0,X1)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] : set_difference(X0,X1) = symmetric_difference(X0,set_intersection2(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.vGCppIrGcw/Vampire---4.8_9696',t100_xboole_1) ).
fof(f123,plain,
! [X0] :
( preboolean(X0)
| ~ in(set_difference(sK3(X0),sK4(X0)),X0)
| ~ in(set_union2(sK3(X0),sK4(X0)),X0) ),
inference(cnf_transformation,[],[f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEU105+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % 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
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 11:02:27 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.vGCppIrGcw/Vampire---4.8_9696
% 0.62/0.77 % (10111)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)
% 0.62/0.77 % (10104)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)
% 0.62/0.77 % (10107)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)
% 0.62/0.77 % (10106)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.62/0.77 % (10105)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)
% 0.62/0.77 % (10108)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)
% 0.62/0.77 % (10109)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)
% 0.62/0.77 % (10110)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)
% 0.62/0.77 % (10111)First to succeed.
% 0.62/0.77 % (10111)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9943"
% 0.62/0.77 % (10111)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Theorem for Vampire---4
% 0.62/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77 % (10111)------------------------------
% 0.62/0.77 % (10111)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (10111)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (10111)Memory used [KB]: 1088
% 0.62/0.77 % (10111)Time elapsed: 0.004 s
% 0.62/0.77 % (10111)Instructions burned: 7 (million)
% 0.62/0.77 % (9943)Success in time 0.39 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------