TSTP Solution File: SEU118+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Sat Sep 2 00:06:35 EDT 2023
% Result : Theorem 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 8 unt; 0 def)
% Number of atoms : 179 ( 8 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 220 ( 87 ~; 75 |; 40 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 75 (; 65 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f260,plain,
$false,
inference(resolution,[],[f259,f93]) ).
fof(f93,plain,
element(sK3,powerset(sK2)),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ~ element(sK3,finite_subsets(sK2))
& finite(sK2)
& element(sK3,powerset(sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f37,f63]) ).
fof(f63,plain,
( ? [X0,X1] :
( ~ element(X1,finite_subsets(X0))
& finite(X0)
& element(X1,powerset(X0)) )
=> ( ~ element(sK3,finite_subsets(sK2))
& finite(sK2)
& element(sK3,powerset(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1] :
( ~ element(X1,finite_subsets(X0))
& finite(X0)
& element(X1,powerset(X0)) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0,X1] :
( ~ element(X1,finite_subsets(X0))
& finite(X0)
& element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(X0))
=> ( finite(X0)
=> element(X1,finite_subsets(X0)) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X0,X1] :
( element(X1,powerset(X0))
=> ( finite(X0)
=> element(X1,finite_subsets(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LJWVOPRoJT/Vampire---4.8_19730',t34_finsub_1) ).
fof(f259,plain,
~ element(sK3,powerset(sK2)),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f255,plain,
( ~ element(sK3,powerset(sK2))
| ~ element(sK3,powerset(sK2)) ),
inference(resolution,[],[f221,f94]) ).
fof(f94,plain,
finite(sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f221,plain,
! [X0] :
( ~ finite(X0)
| ~ element(sK3,powerset(X0))
| ~ element(sK3,powerset(sK2)) ),
inference(resolution,[],[f219,f119]) ).
fof(f119,plain,
! [X0,X1] :
( finite(X1)
| ~ element(X1,powerset(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LJWVOPRoJT/Vampire---4.8_19730',cc2_finset_1) ).
fof(f219,plain,
( ~ finite(sK3)
| ~ element(sK3,powerset(sK2)) ),
inference(resolution,[],[f218,f98]) ).
fof(f98,plain,
! [X0] : preboolean(finite_subsets(X0)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : preboolean(finite_subsets(X0)),
file('/export/starexec/sandbox2/tmp/tmp.LJWVOPRoJT/Vampire---4.8_19730',dt_k5_finsub_1) ).
fof(f218,plain,
( ~ preboolean(finite_subsets(sK2))
| ~ finite(sK3)
| ~ element(sK3,powerset(sK2)) ),
inference(resolution,[],[f216,f149]) ).
fof(f149,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.LJWVOPRoJT/Vampire---4.8_19730',t3_subset) ).
fof(f216,plain,
( ~ subset(sK3,sK2)
| ~ finite(sK3)
| ~ preboolean(finite_subsets(sK2)) ),
inference(resolution,[],[f215,f143]) ).
fof(f143,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ preboolean(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ preboolean(X1) ),
inference(definition_folding,[],[f47,f61,f60]) ).
fof(f60,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( in(X2,X1)
<=> ( finite(X2)
& subset(X2,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f61,plain,
! [X1,X0] :
( ( finite_subsets(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f47,plain,
! [X0,X1] :
( ( finite_subsets(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ( finite(X2)
& subset(X2,X0) ) ) )
| ~ preboolean(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( preboolean(X1)
=> ( finite_subsets(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ( finite(X2)
& subset(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LJWVOPRoJT/Vampire---4.8_19730',d5_finsub_1) ).
fof(f215,plain,
( ~ sP1(finite_subsets(sK2),sK2)
| ~ finite(sK3)
| ~ subset(sK3,sK2) ),
inference(resolution,[],[f212,f200]) ).
fof(f200,plain,
! [X0] :
( sP0(X0,finite_subsets(X0))
| ~ sP1(finite_subsets(X0),X0) ),
inference(equality_resolution,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( finite_subsets(X1) != X0
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( ( finite_subsets(X1) = X0
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| finite_subsets(X1) != X0 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ( ( finite_subsets(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| finite_subsets(X0) != X1 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f61]) ).
fof(f212,plain,
! [X18] :
( ~ sP0(X18,finite_subsets(sK2))
| ~ subset(sK3,X18)
| ~ finite(sK3) ),
inference(resolution,[],[f139,f182]) ).
fof(f182,plain,
~ in(sK3,finite_subsets(sK2)),
inference(resolution,[],[f145,f95]) ).
fof(f95,plain,
~ element(sK3,finite_subsets(sK2)),
inference(cnf_transformation,[],[f64]) ).
fof(f145,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.LJWVOPRoJT/Vampire---4.8_19730',t1_subset) ).
fof(f139,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ finite(X3)
| ~ subset(X3,X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ finite(sK10(X0,X1))
| ~ subset(sK10(X0,X1),X0)
| ~ in(sK10(X0,X1),X1) )
& ( ( finite(sK10(X0,X1))
& subset(sK10(X0,X1),X0) )
| in(sK10(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ finite(X3)
| ~ subset(X3,X0) )
& ( ( finite(X3)
& subset(X3,X0) )
| ~ in(X3,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f81,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ finite(X2)
| ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( ( finite(X2)
& subset(X2,X0) )
| in(X2,X1) ) )
=> ( ( ~ finite(sK10(X0,X1))
| ~ subset(sK10(X0,X1),X0)
| ~ in(sK10(X0,X1),X1) )
& ( ( finite(sK10(X0,X1))
& subset(sK10(X0,X1),X0) )
| in(sK10(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ finite(X2)
| ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( ( finite(X2)
& subset(X2,X0) )
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ finite(X3)
| ~ subset(X3,X0) )
& ( ( finite(X3)
& subset(X3,X0) )
| ~ in(X3,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ finite(X2)
| ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( ( finite(X2)
& subset(X2,X0) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ finite(X2)
| ~ subset(X2,X0) )
& ( ( finite(X2)
& subset(X2,X0) )
| ~ in(X2,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ finite(X2)
| ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( ( finite(X2)
& subset(X2,X0) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ finite(X2)
| ~ subset(X2,X0) )
& ( ( finite(X2)
& subset(X2,X0) )
| ~ in(X2,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 14:10:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.40 % (19916)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.41 % (19924)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.14/0.41 % (19919)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.14/0.41 % (19920)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.14/0.41 % (19922)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.14/0.41 % (19921)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.14/0.41 % (19923)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.14/0.41 % (19925)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [2]
% 0.20/0.41 % (19924)First to succeed.
% 0.20/0.41 TRYING [3]
% 0.20/0.41 % (19924)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Theorem for Vampire---4
% 0.20/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.41 % (19924)------------------------------
% 0.20/0.41 % (19924)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.41 % (19924)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.41 % (19924)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (19924)Memory used [KB]: 1023
% 0.20/0.41 % (19924)Time elapsed: 0.005 s
% 0.20/0.41 % (19924)------------------------------
% 0.20/0.41 % (19924)------------------------------
% 0.20/0.41 % (19916)Success in time 0.062 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------