TSTP Solution File: SYN399+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN399+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n005.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 03:39:49 EDT 2023
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 1 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 96 ( 37 ~; 33 |; 13 &)
% ( 9 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 25 (; 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f25,f26,f30,f32,f34]) ).
fof(f34,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f33]) ).
fof(f33,plain,
( $false
| ~ spl1_3
| ~ spl1_4 ),
inference(subsumption_resolution,[],[f29,f24]) ).
fof(f24,plain,
( ! [X1] : f(X1)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl1_3
<=> ! [X1] : f(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f29,plain,
( ! [X2] : ~ f(X2)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl1_4
<=> ! [X2] : ~ f(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f32,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f31,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f16,f24]) ).
fof(f16,plain,
( ~ f(sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl1_1
<=> f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f30,plain,
( spl1_4
| spl1_2 ),
inference(avatar_split_clause,[],[f9,f18,f28]) ).
fof(f18,plain,
( spl1_2
<=> p ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f9,plain,
! [X2] :
( p
| ~ f(X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ( ~ p
| ~ f(sK0) )
& ( p
| ! [X1] : f(X1) )
& ! [X2] :
( ( f(X2)
| ~ p )
& ( p
| ~ f(X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f7,plain,
( ? [X0] : ~ f(X0)
=> ~ f(sK0) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ~ p
| ? [X0] : ~ f(X0) )
& ( p
| ! [X1] : f(X1) )
& ! [X2] :
( ( f(X2)
| ~ p )
& ( p
| ~ f(X2) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ~ p
| ? [X1] : ~ f(X1) )
& ( p
| ! [X1] : f(X1) )
& ! [X0] :
( ( f(X0)
| ~ p )
& ( p
| ~ f(X0) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ( ~ p
| ? [X1] : ~ f(X1) )
& ( p
| ! [X1] : f(X1) )
& ! [X0] :
( ( f(X0)
| ~ p )
& ( p
| ~ f(X0) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ( ! [X1] : f(X1)
<~> p )
& ! [X0] :
( f(X0)
<=> p ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( f(X0)
<=> p )
=> ( ! [X1] : f(X1)
<=> p ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( f(X0)
<=> p )
=> ( ! [X1] : f(X1)
<=> p ) ),
file('/export/starexec/sandbox/tmp/tmp.6oUq7MIwuA/Vampire---4.8_21285',kalish223) ).
fof(f26,plain,
( ~ spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f10,f23,f18]) ).
fof(f10,plain,
! [X2] :
( f(X2)
| ~ p ),
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
( spl1_3
| spl1_2 ),
inference(avatar_split_clause,[],[f11,f18,f23]) ).
fof(f11,plain,
! [X1] :
( p
| f(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f21,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f12,f18,f14]) ).
fof(f12,plain,
( ~ p
| ~ f(sK0) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN399+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n005.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 : Sat Aug 26 17:22:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_EPR_NEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.6oUq7MIwuA/Vampire---4.8_21285
% 0.14/0.36 % (21396)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (21399)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)
% 0.20/0.42 % (21401)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)
% 0.20/0.42 % (21400)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)
% 0.20/0.42 % (21397)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)
% 0.20/0.42 % (21403)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)
% 0.20/0.42 % (21401)First to succeed.
% 0.20/0.42 % (21398)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)
% 0.20/0.42 % (21403)Also succeeded, but the first one will report.
% 0.20/0.42 % (21402)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)
% 0.20/0.42 % (21397)Also succeeded, but the first one will report.
% 0.20/0.42 % (21401)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for Vampire---4
% 0.20/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42 % (21401)------------------------------
% 0.20/0.42 % (21401)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (21401)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (21401)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (21401)Memory used [KB]: 5373
% 0.20/0.42 % (21401)Time elapsed: 0.003 s
% 0.20/0.42 % (21401)------------------------------
% 0.20/0.42 % (21401)------------------------------
% 0.20/0.42 % (21396)Success in time 0.062 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------