TSTP Solution File: SEU158+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU158+3 : 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 : 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 : Thu Aug 31 17:56:09 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 16 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 102 ( 46 ~; 35 |; 5 &)
% ( 11 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 43 (; 33 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f36,f40,f44,f48,f52,f57,f62,f64,f66]) ).
fof(f66,plain,
( spl4_2
| ~ spl4_1
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f65,f50,f28,f32]) ).
fof(f32,plain,
( spl4_2
<=> in(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f28,plain,
( spl4_1
<=> subset(singleton(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f50,plain,
( spl4_6
<=> ! [X0,X1] :
( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f65,plain,
( in(sK0,sK1)
| ~ spl4_1
| ~ spl4_6 ),
inference(forward_literal_rewriting,[],[f29,f51]) ).
fof(f51,plain,
( ! [X0,X1] :
( in(X0,X1)
| ~ subset(singleton(X0),X1) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f29,plain,
( subset(singleton(sK0),sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f64,plain,
( ~ spl4_2
| spl4_1
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f63,f46,f28,f32]) ).
fof(f46,plain,
( spl4_5
<=> ! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f63,plain,
( ~ in(sK0,sK1)
| spl4_1
| ~ spl4_5 ),
inference(forward_literal_rewriting,[],[f30,f47]) ).
fof(f47,plain,
( ! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f30,plain,
( ~ subset(singleton(sK0),sK1)
| spl4_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f62,plain,
spl4_8,
inference(avatar_split_clause,[],[f26,f59]) ).
fof(f59,plain,
( spl4_8
<=> empty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f26,plain,
empty(sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
empty(sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f3,f17]) ).
fof(f17,plain,
( ? [X0] : empty(X0)
=> empty(sK3) ),
introduced(choice_axiom,[]) ).
fof(f3,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/tmp/tmp.cBeXkNs9tE/Vampire---4.8_27507',rc1_xboole_0) ).
fof(f57,plain,
~ spl4_7,
inference(avatar_split_clause,[],[f25,f54]) ).
fof(f54,plain,
( spl4_7
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f25,plain,
~ empty(sK2),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
~ empty(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f4,f15]) ).
fof(f15,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK2) ),
introduced(choice_axiom,[]) ).
fof(f4,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/tmp/tmp.cBeXkNs9tE/Vampire---4.8_27507',rc2_xboole_0) ).
fof(f52,plain,
spl4_6,
inference(avatar_split_clause,[],[f23,f50]) ).
fof(f23,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(singleton(X0),X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cBeXkNs9tE/Vampire---4.8_27507',l2_zfmisc_1) ).
fof(f48,plain,
spl4_5,
inference(avatar_split_clause,[],[f24,f46]) ).
fof(f24,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f44,plain,
spl4_4,
inference(avatar_split_clause,[],[f22,f42]) ).
fof(f42,plain,
( spl4_4
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f22,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.cBeXkNs9tE/Vampire---4.8_27507',antisymmetry_r2_hidden) ).
fof(f40,plain,
spl4_3,
inference(avatar_split_clause,[],[f21,f38]) ).
fof(f38,plain,
( spl4_3
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f21,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.cBeXkNs9tE/Vampire---4.8_27507',reflexivity_r1_tarski) ).
fof(f36,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f19,f32,f28]) ).
fof(f19,plain,
( in(sK0,sK1)
| subset(singleton(sK0),sK1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ~ in(sK0,sK1)
| ~ subset(singleton(sK0),sK1) )
& ( in(sK0,sK1)
| subset(singleton(sK0),sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f12]) ).
fof(f12,plain,
( ? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) )
=> ( ( ~ in(sK0,sK1)
| ~ subset(singleton(sK0),sK1) )
& ( in(sK0,sK1)
| subset(singleton(sK0),sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
? [X0,X1] :
( subset(singleton(X0),X1)
<~> in(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cBeXkNs9tE/Vampire---4.8_27507',t37_zfmisc_1) ).
fof(f35,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f20,f32,f28]) ).
fof(f20,plain,
( ~ in(sK0,sK1)
| ~ subset(singleton(sK0),sK1) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU158+3 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n003.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 : Wed Aug 23 14:38:07 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.22/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.cBeXkNs9tE/Vampire---4.8_27507
% 0.22/0.37 % (27692)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (27698)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.43 % (27693)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.43 % (27697)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (27693)First to succeed.
% 0.22/0.43 % (27698)Also succeeded, but the first one will report.
% 0.22/0.43 % (27697)Also succeeded, but the first one will report.
% 0.22/0.43 % (27693)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (27693)------------------------------
% 0.22/0.43 % (27693)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (27693)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (27693)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (27693)Memory used [KB]: 5373
% 0.22/0.43 % (27693)Time elapsed: 0.004 s
% 0.22/0.43 % (27693)------------------------------
% 0.22/0.43 % (27693)------------------------------
% 0.22/0.43 % (27692)Success in time 0.063 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------