TSTP Solution File: SYN318+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN318+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 : n026.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 03:38:54 EDT 2023
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 5 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 110 ( 45 ~; 29 |; 10 &)
% ( 6 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 41 (; 33 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f26,f30,f34,f36,f38]) ).
fof(f38,plain,
( ~ spl2_2
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f37,plain,
( $false
| ~ spl2_2
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f33,f21]) ).
fof(f21,plain,
( ! [X0] : ~ big_f(X0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl2_2
<=> ! [X0] : ~ big_f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f33,plain,
( ! [X0] : big_f(sK0(X0))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl2_5
<=> ! [X0] : big_f(sK0(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f36,plain,
( spl2_2
| ~ spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f35,f28,f24,f20]) ).
fof(f24,plain,
( spl2_3
<=> ! [X2] :
( big_g(X2)
| ~ big_f(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f28,plain,
( spl2_4
<=> ! [X0] : ~ big_g(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f35,plain,
( ! [X0] : ~ big_f(X0)
| ~ spl2_3
| ~ spl2_4 ),
inference(resolution,[],[f25,f29]) ).
fof(f29,plain,
( ! [X0] : ~ big_g(X0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f25,plain,
( ! [X2] :
( big_g(X2)
| ~ big_f(X2) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f34,plain,
spl2_5,
inference(avatar_split_clause,[],[f11,f32]) ).
fof(f11,plain,
! [X0] : big_f(sK0(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ~ big_g(X0)
& big_f(sK0(X0))
& ! [X2] :
( big_g(X2)
| ~ big_f(X0)
| ~ big_f(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).
fof(f8,plain,
! [X0] :
( ? [X1] :
( ~ big_g(X0)
& big_f(X1) )
=> ( ~ big_g(X0)
& big_f(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X0] :
( ? [X1] :
( ~ big_g(X0)
& big_f(X1) )
& ! [X2] :
( big_g(X2)
| ~ big_f(X0)
| ~ big_f(X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
! [X0] :
( ? [X2] :
( ~ big_g(X0)
& big_f(X2) )
& ! [X1] :
( big_g(X1)
| ~ big_f(X0)
| ~ big_f(X1) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X0] :
( ? [X2] :
( ~ big_g(X0)
& big_f(X2) )
& ! [X1] :
( big_g(X1)
| ~ big_f(X0)
| ~ big_f(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ! [X2] :
( big_f(X2)
=> big_g(X0) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,plain,
~ ? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ( p
=> ! [X2] :
( big_f(X2)
=> big_g(X0) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ( p
=> ! [X1] :
( big_f(X1)
=> big_g(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ( p
=> ! [X1] :
( big_f(X1)
=> big_g(X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.AgRr0wbjKJ/Vampire---4.8_32554',church_46_2_4) ).
fof(f30,plain,
spl2_4,
inference(avatar_split_clause,[],[f12,f28]) ).
fof(f12,plain,
! [X0] : ~ big_g(X0),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f13,f24,f16]) ).
fof(f16,plain,
( spl2_1
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f13,plain,
! [X2] :
( big_g(X2)
| ~ big_f(X2)
| sP1 ),
inference(cnf_transformation,[],[f13_D]) ).
fof(f13_D,plain,
( ! [X2] :
( big_g(X2)
| ~ big_f(X2) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f22,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f14,f20,f16]) ).
fof(f14,plain,
! [X0] :
( ~ big_f(X0)
| ~ sP1 ),
inference(general_splitting,[],[f10,f13_D]) ).
fof(f10,plain,
! [X2,X0] :
( big_g(X2)
| ~ big_f(X0)
| ~ big_f(X2) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN318+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.19/0.35 % Computer : n026.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Sat Aug 26 19:24:33 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.19/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.AgRr0wbjKJ/Vampire---4.8_32554
% 0.19/0.35 % (32703)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (32707)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 % (32704)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 % (32710)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 % (32704)First to succeed.
% 0.22/0.42 % (32707)Also succeeded, but the first one will report.
% 0.22/0.42 % (32704)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42 % (32704)------------------------------
% 0.22/0.42 % (32704)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (32704)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (32704)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (32704)Memory used [KB]: 5373
% 0.22/0.42 % (32704)Time elapsed: 0.004 s
% 0.22/0.42 % (32704)------------------------------
% 0.22/0.42 % (32704)------------------------------
% 0.22/0.42 % (32703)Success in time 0.064 s
% 0.22/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------