TSTP Solution File: ARI599_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI599_1 : TPTP v8.1.2. Released v5.1.0.
% 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 : n012.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 13:42:35 EDT 2023
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 7 unt; 3 typ; 0 def)
% Number of atoms : 28 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 0 |; 7 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 70 ( 14 atm; 28 fun; 28 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
b: $int ).
tff(func_def_2,type,
f: ( $int * $int ) > $int ).
tff(f42,plain,
$false,
inference(avatar_smt_refutation,[],[f31,f36,f41]) ).
tff(f41,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f26,f38]) ).
tff(f38,plain,
( spl0_3
<=> ( f(a,b) = f(b,a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f26,plain,
f(a,b) != f(b,a),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ( f(a,b) != f(b,a) )
& ~ $less($product(3,a),$product(3,b))
& ~ $less($product(2,b),$product(2,a)) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
( ( f(a,b) != f(b,a) )
& ~ $less($product(3,a),$product(3,b))
& ~ $less($product(2,b),$product(2,a)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ( ~ $less($product(3,a),$product(3,b))
& ~ $less($product(2,b),$product(2,a)) )
=> ( f(a,b) = f(b,a) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $lesseq($product(3,b),$product(3,a))
& $lesseq($product(2,a),$product(2,b)) )
=> ( f(a,b) = f(b,a) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $lesseq($product(3,b),$product(3,a))
& $lesseq($product(2,a),$product(2,b)) )
=> ( f(a,b) = f(b,a) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9YbtyXfIHt/Vampire---4.8_30739',ineq_imply_f_eq_f) ).
tff(f36,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f25,f33]) ).
tff(f33,plain,
( spl0_2
<=> $less($product(3,a),$product(3,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f25,plain,
~ $less($product(3,a),$product(3,b)),
inference(cnf_transformation,[],[f23]) ).
tff(f31,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f24,f28]) ).
tff(f28,plain,
( spl0_1
<=> $less($product(2,b),$product(2,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f24,plain,
~ $less($product(2,b),$product(2,a)),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI599_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n012.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 17:57:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (31033)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (31078)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 % (31073)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 % (31072)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 % (31076)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (31075)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 % (31079)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 % (31073)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (31072)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (31073)Terminated due to inappropriate strategy.
% 0.22/0.43 % (31073)------------------------------
% 0.22/0.43 % (31073)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (31073)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (31072)Terminated due to inappropriate strategy.
% 0.22/0.43 % (31072)------------------------------
% 0.22/0.43 % (31072)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (31073)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (31073)Memory used [KB]: 767
% 0.22/0.43 % (31073)Time elapsed: 0.002 s
% 0.22/0.43 % (31072)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (31073)------------------------------
% 0.22/0.43 % (31073)------------------------------
% 0.22/0.43 % (31072)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (31072)Memory used [KB]: 767
% 0.22/0.43 % (31072)Time elapsed: 0.002 s
% 0.22/0.43 % (31072)------------------------------
% 0.22/0.43 % (31072)------------------------------
% 0.22/0.43 % (31081)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 % (31076)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (31076)Terminated due to inappropriate strategy.
% 0.22/0.43 % (31076)------------------------------
% 0.22/0.43 % (31076)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (31076)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (31076)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (31076)Memory used [KB]: 767
% 0.22/0.43 % (31076)Time elapsed: 0.002 s
% 0.22/0.43 % (31076)------------------------------
% 0.22/0.43 % (31076)------------------------------
% 0.22/0.43 % (31085)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.22/0.43 % (31086)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 % (31087)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 % (31085)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (31085)Terminated due to inappropriate strategy.
% 0.22/0.43 % (31085)------------------------------
% 0.22/0.43 % (31085)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (31085)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (31085)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (31085)Memory used [KB]: 767
% 0.22/0.43 % (31085)Time elapsed: 0.003 s
% 0.22/0.43 % (31085)------------------------------
% 0.22/0.43 % (31085)------------------------------
% 0.22/0.44 % (31092)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 % (31075)First to succeed.
% 0.22/0.49 % (31075)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 % (31075)------------------------------
% 0.22/0.49 % (31075)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (31075)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (31075)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (31075)Memory used [KB]: 5373
% 0.22/0.49 % (31075)Time elapsed: 0.066 s
% 0.22/0.49 % (31075)------------------------------
% 0.22/0.49 % (31075)------------------------------
% 0.22/0.49 % (31033)Success in time 0.123 s
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------