TSTP Solution File: ARI297_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI297_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n019.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 13:39:24 EDT 2023
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 21 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 0 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 36 ( 0 atm; 8 fun; 24 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 4 (; 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f35,plain,
$false,
inference(avatar_smt_refutation,[],[f29,f34]) ).
tff(f34,plain,
spl1_2,
inference(avatar_split_clause,[],[f23,f31]) ).
tff(f31,plain,
( spl1_2
<=> ( 1/4 = $product(sK0,2/5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f23,plain,
1/4 = $product(sK0,2/5),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 5/8 != sK0 )
& ( 1/4 = $product(sK0,2/5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $rat] :
( ( 5/8 != X0 )
& ( $product(X0,2/5) = 1/4 ) )
=> ( ( 5/8 != sK0 )
& ( 1/4 = $product(sK0,2/5) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $rat] :
( ( 5/8 != X0 )
& ( $product(X0,2/5) = 1/4 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( 5/8 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( 5/8 = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.o8uZ04bX7I/Vampire---4.8_15994',rat_product_problem_14) ).
tff(f29,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f24,f26]) ).
tff(f26,plain,
( spl1_1
<=> ( 5/8 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f24,plain,
5/8 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI297_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n019.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 30 18:04:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (16222)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (16263)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (16264)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (16265)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)
% 0.22/0.43 % (16266)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (16268)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)
% 0.22/0.43 % (16267)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)
% 0.22/0.43 % (16263)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (16263)Terminated due to inappropriate strategy.
% 0.22/0.43 % (16263)------------------------------
% 0.22/0.43 % (16263)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (16263)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (16263)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (16263)Memory used [KB]: 767
% 0.22/0.43 % (16263)Time elapsed: 0.002 s
% 0.22/0.43 % (16263)------------------------------
% 0.22/0.43 % (16263)------------------------------
% 0.22/0.43 % (16264)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (16264)Terminated due to inappropriate strategy.
% 0.22/0.43 % (16264)------------------------------
% 0.22/0.43 % (16264)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (16264)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (16264)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (16264)Memory used [KB]: 767
% 0.22/0.43 % (16264)Time elapsed: 0.002 s
% 0.22/0.43 % (16264)------------------------------
% 0.22/0.43 % (16264)------------------------------
% 0.22/0.43 % (16266)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (16266)Terminated due to inappropriate strategy.
% 0.22/0.43 % (16266)------------------------------
% 0.22/0.43 % (16266)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (16266)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (16266)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (16266)Memory used [KB]: 767
% 0.22/0.43 % (16266)Time elapsed: 0.002 s
% 0.22/0.43 % (16266)------------------------------
% 0.22/0.43 % (16266)------------------------------
% 0.22/0.43 % (16269)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)
% 0.22/0.43 % (16271)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.22/0.43 % (16272)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.22/0.43 % (16273)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.22/0.43 % (16271)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (16271)Terminated due to inappropriate strategy.
% 0.22/0.43 % (16271)------------------------------
% 0.22/0.43 % (16271)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (16271)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (16271)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (16271)Memory used [KB]: 767
% 0.22/0.43 % (16271)Time elapsed: 0.003 s
% 0.22/0.43 % (16271)------------------------------
% 0.22/0.43 % (16271)------------------------------
% 0.22/0.44 % (16277)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 0.22/0.49 % (16265)First to succeed.
% 0.22/0.49 % (16265)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for Vampire---4
% 0.22/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.49 % (16265)------------------------------
% 0.22/0.49 % (16265)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (16265)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (16265)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (16265)Memory used [KB]: 5373
% 0.22/0.49 % (16265)Time elapsed: 0.064 s
% 0.22/0.49 % (16265)------------------------------
% 0.22/0.49 % (16265)------------------------------
% 0.22/0.49 % (16222)Success in time 0.121 s
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------