TSTP Solution File: SET595+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET595+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 03:48:11 EDT 2024
% Result : Theorem 0.62s 0.82s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 4 unt; 0 def)
% Number of atoms : 179 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 191 ( 72 ~; 78 |; 25 &)
% ( 8 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 89 ( 79 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,plain,
$false,
inference(avatar_sat_refutation,[],[f91,f92,f112,f126]) ).
fof(f126,plain,
( spl6_3
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| spl6_3
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f123,f85]) ).
fof(f85,plain,
( ~ member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK1)
| spl6_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl6_3
<=> member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f123,plain,
( member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK1)
| spl6_3
| ~ spl6_4 ),
inference(resolution,[],[f115,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iRtZPvnNdK/Vampire---4.8_7041',difference_defn) ).
fof(f115,plain,
( member(sK3(sK1,union(sK0,difference(sK1,sK0))),difference(sK1,sK0))
| spl6_3
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f114,f113]) ).
fof(f113,plain,
( ~ member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK0)
| spl6_3 ),
inference(resolution,[],[f85,f68]) ).
fof(f68,plain,
! [X0] :
( member(X0,sK1)
| ~ member(X0,sK0) ),
inference(resolution,[],[f33,f52]) ).
fof(f52,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f30,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iRtZPvnNdK/Vampire---4.8_7041',subset_defn) ).
fof(f33,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( sK1 != union(sK0,difference(sK1,sK0))
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f14]) ).
fof(f14,plain,
( ? [X0,X1] :
( union(X0,difference(X1,X0)) != X1
& subset(X0,X1) )
=> ( sK1 != union(sK0,difference(sK1,sK0))
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( union(X0,difference(X1,X0)) != X1
& subset(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> union(X0,difference(X1,X0)) = X1 ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> union(X0,difference(X1,X0)) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.iRtZPvnNdK/Vampire---4.8_7041',prove_th54) ).
fof(f114,plain,
( member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK0)
| member(sK3(sK1,union(sK0,difference(sK1,sK0))),difference(sK1,sK0))
| ~ spl6_4 ),
inference(resolution,[],[f90,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iRtZPvnNdK/Vampire---4.8_7041',union_defn) ).
fof(f90,plain,
( member(sK3(sK1,union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0)))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl6_4
<=> member(sK3(sK1,union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f112,plain,
( ~ spl6_3
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| ~ spl6_3
| spl6_4 ),
inference(subsumption_resolution,[],[f110,f86]) ).
fof(f86,plain,
( member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK1)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f110,plain,
( ~ member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK1)
| spl6_4 ),
inference(subsumption_resolution,[],[f109,f105]) ).
fof(f105,plain,
( ~ member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK0)
| spl6_4 ),
inference(resolution,[],[f89,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f89,plain,
( ~ member(sK3(sK1,union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0)))
| spl6_4 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f109,plain,
( member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK0)
| ~ member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK1)
| spl6_4 ),
inference(resolution,[],[f106,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f106,plain,
( ~ member(sK3(sK1,union(sK0,difference(sK1,sK0))),difference(sK1,sK0))
| spl6_4 ),
inference(resolution,[],[f89,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f92,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f71,f88,f84]) ).
fof(f71,plain,
( ~ member(sK3(sK1,union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0)))
| ~ member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK1) ),
inference(resolution,[],[f60,f63]) ).
fof(f63,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f40,f59]) ).
fof(f59,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f40,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f20,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( member(X2,X0)
<~> member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
<=> member(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.iRtZPvnNdK/Vampire---4.8_7041',member_equal) ).
fof(f60,plain,
~ sQ5_eqProxy(sK1,union(sK0,difference(sK1,sK0))),
inference(equality_proxy_replacement,[],[f34,f59]) ).
fof(f34,plain,
sK1 != union(sK0,difference(sK1,sK0)),
inference(cnf_transformation,[],[f15]) ).
fof(f91,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f70,f88,f84]) ).
fof(f70,plain,
( member(sK3(sK1,union(sK0,difference(sK1,sK0))),union(sK0,difference(sK1,sK0)))
| member(sK3(sK1,union(sK0,difference(sK1,sK0))),sK1) ),
inference(resolution,[],[f60,f64]) ).
fof(f64,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f39,f59]) ).
fof(f39,plain,
! [X0,X1] :
( X0 = X1
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET595+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.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 : Tue Apr 30 17:11:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.iRtZPvnNdK/Vampire---4.8_7041
% 0.62/0.81 % (7248)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81 % (7253)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)
% 0.62/0.82 % (7246)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)
% 0.62/0.82 % (7249)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)
% 0.62/0.82 % (7247)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)
% 0.62/0.82 % (7253)First to succeed.
% 0.62/0.82 % (7251)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)
% 0.62/0.82 % (7250)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)
% 0.62/0.82 % (7252)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)
% 0.62/0.82 % (7253)Refutation found. Thanks to Tanya!
% 0.62/0.82 % SZS status Theorem for Vampire---4
% 0.62/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82 % (7253)------------------------------
% 0.62/0.82 % (7253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (7253)Termination reason: Refutation
% 0.62/0.82
% 0.62/0.82 % (7253)Memory used [KB]: 1060
% 0.62/0.82 % (7253)Time elapsed: 0.003 s
% 0.62/0.82 % (7253)Instructions burned: 5 (million)
% 0.62/0.82 % (7253)------------------------------
% 0.62/0.82 % (7253)------------------------------
% 0.62/0.82 % (7214)Success in time 0.443 s
% 0.62/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------