TSTP Solution File: ARI702_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI702_1 : TPTP v8.1.2. Released v6.3.0.
% 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 13:42:49 EDT 2023
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 20 ( 12 unt; 5 typ; 0 def)
% Number of atoms : 18 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 30 ( 0 atm; 19 fun; 11 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 5 usr; 7 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
x: $int ).
tff(func_def_1,type,
y: $int ).
tff(func_def_2,type,
a: $int ).
tff(func_def_3,type,
z: $int ).
tff(func_def_4,type,
b: $int ).
tff(f66,plain,
$false,
inference(avatar_smt_refutation,[],[f33,f38,f65]) ).
tff(f65,plain,
spl0_3,
inference(avatar_split_clause,[],[f27,f62]) ).
tff(f62,plain,
( spl0_3
<=> ( $product($product(2,x),y) = a ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f27,plain,
$product($product(2,x),y) = a,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product($product(2,x),y) = a,
file('/export/starexec/sandbox/tmp/tmp.ffDBb7qjJE/Vampire---4.8_16934',eq1) ).
tff(f38,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f25,f35]) ).
tff(f35,plain,
( spl0_2
<=> ( $product($product(x,y),z) = 1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f25,plain,
$product($product(x,y),z) != 1,
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
$product($product(x,y),z) != 1,
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
( ~ $product($product(x,y),z) = 1 ),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
$product($product(x,y),z) = 1,
file('/export/starexec/sandbox/tmp/tmp.ffDBb7qjJE/Vampire---4.8_16934',conj) ).
tff(f33,plain,
spl0_1,
inference(avatar_split_clause,[],[f26,f30]) ).
tff(f30,plain,
( spl0_1
<=> ( 2 = $product(a,z) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f26,plain,
2 = $product(a,z),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
2 = $product(a,z),
file('/export/starexec/sandbox/tmp/tmp.ffDBb7qjJE/Vampire---4.8_16934',eq3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : ARI702_1 : TPTP v8.1.2. Released v6.3.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.34 % Computer : n019.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Aug 30 18:04:57 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.16/0.39 % (17045)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40 % (17047)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.40 % (17049)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.40 % (17048)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)
% 0.16/0.40 % (17050)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)
% 0.16/0.40 % (17051)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)
% 0.16/0.40 % (17052)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)
% 0.16/0.40 % (17047)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.40 % (17049)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.40 % (17049)Terminated due to inappropriate strategy.
% 0.16/0.40 % (17049)------------------------------
% 0.16/0.40 % (17049)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.40 % (17049)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.40 % (17049)Termination reason: Inappropriate
% 0.16/0.40
% 0.16/0.40 % (17049)Memory used [KB]: 767
% 0.16/0.40 % (17049)Time elapsed: 0.002 s
% 0.16/0.40 % (17049)------------------------------
% 0.16/0.40 % (17049)------------------------------
% 0.16/0.40 % (17046)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.40 % (17047)Terminated due to inappropriate strategy.
% 0.16/0.40 % (17047)------------------------------
% 0.16/0.40 % (17047)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.40 % (17047)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.40 % (17047)Termination reason: Inappropriate
% 0.16/0.40
% 0.16/0.40 % (17047)Memory used [KB]: 767
% 0.16/0.40 % (17047)Time elapsed: 0.002 s
% 0.16/0.40 % (17047)------------------------------
% 0.16/0.40 % (17047)------------------------------
% 0.16/0.40 % (17046)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.40 % (17046)Terminated due to inappropriate strategy.
% 0.16/0.40 % (17046)------------------------------
% 0.16/0.40 % (17046)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.40 % (17046)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.40 % (17046)Termination reason: Inappropriate
% 0.16/0.40
% 0.16/0.40 % (17046)Memory used [KB]: 767
% 0.16/0.40 % (17046)Time elapsed: 0.002 s
% 0.16/0.40 % (17046)------------------------------
% 0.16/0.40 % (17046)------------------------------
% 0.16/0.40 % (17053)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.16/0.40 % (17054)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)
% 0.16/0.40 % (17053)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.40 % (17053)Terminated due to inappropriate strategy.
% 0.16/0.40 % (17053)------------------------------
% 0.16/0.40 % (17053)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.40 % (17053)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.40 % (17053)Termination reason: Inappropriate
% 0.16/0.40
% 0.16/0.40 % (17053)Memory used [KB]: 767
% 0.16/0.40 % (17053)Time elapsed: 0.002 s
% 0.16/0.40 % (17053)------------------------------
% 0.16/0.40 % (17053)------------------------------
% 0.16/0.40 % (17055)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)
% 0.16/0.40 % (17056)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)
% 0.16/0.46 % (17048)First to succeed.
% 0.16/0.46 % (17048)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for Vampire---4
% 0.16/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.46 % (17048)------------------------------
% 0.16/0.46 % (17048)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.46 % (17048)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.46 % (17048)Termination reason: Refutation
% 0.16/0.46
% 0.16/0.46 % (17048)Memory used [KB]: 5373
% 0.16/0.46 % (17048)Time elapsed: 0.066 s
% 0.16/0.46 % (17048)------------------------------
% 0.16/0.46 % (17048)------------------------------
% 0.16/0.46 % (17045)Success in time 0.12 s
% 0.16/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------