TSTP Solution File: SYN966+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n014.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 : Fri Sep 1 03:48:06 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 3 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 162 ( 67 ~; 58 |; 21 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 51 (; 40 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f26,f36,f44,f54,f62]) ).
fof(f62,plain,
( ~ spl3_2
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| ~ spl3_2
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f23,f57]) ).
fof(f57,plain,
( ~ a_member_of(sK2(sK1,sK0),sK0)
| ~ spl3_4 ),
inference(resolution,[],[f35,f13]) ).
fof(f13,plain,
eq(sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ~ eq(sK1,sK0)
& eq(sK0,sK1)
& ! [X2,X3] :
( ( eq(X2,X3)
| ( ( ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2) )
& ( a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ eq(X2,X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5,f7,f6]) ).
fof(f6,plain,
( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
=> ( ~ eq(sK1,sK0)
& eq(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X2,X3] :
( ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) )
=> ( ( ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2) )
& ( a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
& ! [X2,X3] :
( ( eq(X2,X3)
| ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ eq(X2,X3) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ? [X3,X4] :
( ~ eq(X4,X3)
& eq(X3,X4) )
& ! [X0,X1] :
( ( eq(X0,X1)
| ? [X2] :
( ( ~ a_member_of(X2,X1)
| ~ a_member_of(X2,X0) )
& ( a_member_of(X2,X1)
| a_member_of(X2,X0) ) ) )
& ( ! [X2] :
( ( a_member_of(X2,X0)
| ~ a_member_of(X2,X1) )
& ( a_member_of(X2,X1)
| ~ a_member_of(X2,X0) ) )
| ~ eq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ? [X3,X4] :
( ~ eq(X4,X3)
& eq(X3,X4) )
& ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( eq(X3,X4)
=> eq(X4,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( eq(X3,X4)
=> eq(X4,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.Q6zon7Kz4c/Vampire---4.8_10639',prove_this) ).
fof(f35,plain,
( ! [X1] :
( ~ eq(X1,sK1)
| ~ a_member_of(sK2(sK1,sK0),X1) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl3_4
<=> ! [X1] :
( ~ a_member_of(sK2(sK1,sK0),X1)
| ~ eq(X1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f23,plain,
( a_member_of(sK2(sK1,sK0),sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl3_2
<=> a_member_of(sK2(sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f54,plain,
( ~ spl3_1
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f52,plain,
( $false
| ~ spl3_1
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f19,f49]) ).
fof(f49,plain,
( ~ a_member_of(sK2(sK1,sK0),sK1)
| ~ spl3_5 ),
inference(resolution,[],[f43,f13]) ).
fof(f43,plain,
( ! [X0] :
( ~ eq(sK0,X0)
| ~ a_member_of(sK2(sK1,sK0),X0) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl3_5
<=> ! [X0] :
( ~ a_member_of(sK2(sK1,sK0),X0)
| ~ eq(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f19,plain,
( a_member_of(sK2(sK1,sK0),sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl3_1
<=> a_member_of(sK2(sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f44,plain,
( spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f37,f21,f42]) ).
fof(f37,plain,
( ! [X0] :
( ~ a_member_of(sK2(sK1,sK0),X0)
| ~ eq(sK0,X0) )
| spl3_2 ),
inference(resolution,[],[f22,f10]) ).
fof(f10,plain,
! [X2,X3,X5] :
( a_member_of(X5,X2)
| ~ a_member_of(X5,X3)
| ~ eq(X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
( ~ a_member_of(sK2(sK1,sK0),sK0)
| spl3_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f36,plain,
( spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f28,f17,f34]) ).
fof(f28,plain,
( ! [X1] :
( ~ a_member_of(sK2(sK1,sK0),X1)
| ~ eq(X1,sK1) )
| spl3_1 ),
inference(resolution,[],[f18,f9]) ).
fof(f9,plain,
! [X2,X3,X5] :
( a_member_of(X5,X3)
| ~ a_member_of(X5,X2)
| ~ eq(X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f18,plain,
( ~ a_member_of(sK2(sK1,sK0),sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f26,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f25,f21,f17]) ).
fof(f25,plain,
( ~ a_member_of(sK2(sK1,sK0),sK0)
| ~ a_member_of(sK2(sK1,sK0),sK1) ),
inference(resolution,[],[f12,f14]) ).
fof(f14,plain,
~ eq(sK1,sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f12,plain,
! [X2,X3] :
( eq(X2,X3)
| ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f24,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f15,f21,f17]) ).
fof(f15,plain,
( a_member_of(sK2(sK1,sK0),sK0)
| a_member_of(sK2(sK1,sK0),sK1) ),
inference(resolution,[],[f11,f14]) ).
fof(f11,plain,
! [X2,X3] :
( eq(X2,X3)
| a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n014.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 : Sat Aug 26 18:39:32 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Q6zon7Kz4c/Vampire---4.8_10639
% 0.15/0.36 % (10750)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (10754)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.42 % (10752)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.42 % (10757)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.42 % (10756)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)
% 0.22/0.42 % (10755)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)
% 0.22/0.42 % (10751)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)
% 0.22/0.42 % (10754)First to succeed.
% 0.22/0.42 % (10753)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.42 % (10756)Refutation not found, incomplete strategy% (10756)------------------------------
% 0.22/0.42 % (10756)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (10756)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (10756)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42 % (10756)Memory used [KB]: 5373
% 0.22/0.42 % (10756)Time elapsed: 0.003 s
% 0.22/0.42 % (10756)------------------------------
% 0.22/0.42 % (10756)------------------------------
% 0.22/0.42 % (10757)Also succeeded, but the first one will report.
% 0.22/0.43 % (10751)Also succeeded, but the first one will report.
% 0.22/0.43 % (10754)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 % (10754)------------------------------
% 0.22/0.43 % (10754)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (10754)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (10754)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (10754)Memory used [KB]: 9850
% 0.22/0.43 % (10754)Time elapsed: 0.005 s
% 0.22/0.43 % (10754)------------------------------
% 0.22/0.43 % (10754)------------------------------
% 0.22/0.43 % (10750)Success in time 0.062 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------