TSTP Solution File: ARI705_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI705_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 : n007.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 13:42:50 EDT 2023
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 12 unt; 4 typ; 0 def)
% Number of atoms : 28 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 5 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 79 ( 0 atm; 55 fun; 22 num; 2 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 ( 4 usr; 6 con; 0-2 aty)
% Number of variables : 2 (; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
d: $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
c: $int ).
tff(func_def_3,type,
b: $int ).
tff(f272,plain,
$false,
inference(avatar_smt_refutation,[],[f152,f159,f160,f271]) ).
tff(f271,plain,
spl0_3,
inference(avatar_split_clause,[],[f24,f268]) ).
tff(f268,plain,
( spl0_3
<=> ( $product(d,d) = $sum($product(d,d),a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f24,plain,
$product(d,d) = $sum($product(d,d),a),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(d,d) = $sum($product(d,d),a),
file('/export/starexec/sandbox2/tmp/tmp.88iHtXXt1H/Vampire---4.8_25382',eq) ).
tff(f160,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f154,f149,f156]) ).
tff(f156,plain,
( spl0_2
<=> ( 0 = $product(2,$product(b,$product(a,$product(d,c)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f149,plain,
( spl0_1
<=> ( 0 = $product($product(b,$product(a,$product(d,c))),2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f154,plain,
( ( 0 != $product(2,$product(b,$product(a,$product(d,c)))) )
| spl0_1 ),
inference(superposition,[],[f151,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f151,plain,
( ( 0 != $product($product(b,$product(a,$product(d,c))),2) )
| spl0_1 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f159,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f153,f149,f156]) ).
tff(f153,plain,
( ( 0 != $product(2,$product(b,$product(a,$product(d,c)))) )
| spl0_1 ),
inference(superposition,[],[f151,f15]) ).
tff(f152,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f107,f149]) ).
tff(f107,plain,
0 != $product($product(b,$product(a,$product(d,c))),2),
inference(forward_demodulation,[],[f106,f15]) ).
tff(f106,plain,
0 != $product($product(b,$product($product(d,c),a)),2),
inference(forward_demodulation,[],[f23,f15]) ).
tff(f23,plain,
$product($product($product($product(d,c),a),b),2) != 0,
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
$product($product($product($product(d,c),a),b),2) != 0,
inference(flattening,[],[f3]) ).
tff(f3,negated_conjecture,
( ~ $product($product($product($product(d,c),a),b),2) = 0 ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
$product($product($product($product(d,c),a),b),2) = 0,
file('/export/starexec/sandbox2/tmp/tmp.88iHtXXt1H/Vampire---4.8_25382',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI705_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n007.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 : Wed Aug 30 17:51:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.41 % (25488)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (25489)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.41 % (25490)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.41 % (25492)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.41 % (25491)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)
% 0.21/0.41 % (25493)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)
% 0.21/0.41 % (25494)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)
% 0.21/0.41 % (25490)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41 % (25489)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41 % (25489)Terminated due to inappropriate strategy.
% 0.21/0.41 % (25489)------------------------------
% 0.21/0.41 % (25489)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41 % (25489)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41 % (25489)Termination reason: Inappropriate
% 0.21/0.41
% 0.21/0.41 % (25489)Memory used [KB]: 767
% 0.21/0.41 % (25489)Time elapsed: 0.002 s
% 0.21/0.41 % (25489)------------------------------
% 0.21/0.41 % (25489)------------------------------
% 0.21/0.41 % (25490)Terminated due to inappropriate strategy.
% 0.21/0.41 % (25490)------------------------------
% 0.21/0.41 % (25490)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41 % (25492)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41 % (25495)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)
% 0.21/0.41 % (25492)Terminated due to inappropriate strategy.
% 0.21/0.41 % (25492)------------------------------
% 0.21/0.41 % (25492)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41 % (25492)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41 % (25492)Termination reason: Inappropriate
% 0.21/0.41
% 0.21/0.41 % (25492)Memory used [KB]: 767
% 0.21/0.41 % (25492)Time elapsed: 0.003 s
% 0.21/0.41 % (25492)------------------------------
% 0.21/0.41 % (25492)------------------------------
% 0.21/0.41 % (25490)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41 % (25490)Termination reason: Inappropriate
% 0.21/0.41
% 0.21/0.41 % (25490)Memory used [KB]: 767
% 0.21/0.41 % (25490)Time elapsed: 0.003 s
% 0.21/0.41 % (25490)------------------------------
% 0.21/0.41 % (25490)------------------------------
% 0.21/0.42 % (25496)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.21/0.42 % (25497)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)
% 0.21/0.42 % (25498)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)
% 0.21/0.42 % (25496)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.42 % (25496)Terminated due to inappropriate strategy.
% 0.21/0.42 % (25496)------------------------------
% 0.21/0.42 % (25496)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (25496)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (25496)Termination reason: Inappropriate
% 0.21/0.42
% 0.21/0.42 % (25496)Memory used [KB]: 767
% 0.21/0.42 % (25496)Time elapsed: 0.003 s
% 0.21/0.42 % (25496)------------------------------
% 0.21/0.42 % (25496)------------------------------
% 0.21/0.42 % (25499)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)
% 0.21/0.48 % (25491)First to succeed.
% 0.21/0.49 % (25491)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for Vampire---4
% 0.21/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.49 % (25491)------------------------------
% 0.21/0.49 % (25491)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 % (25491)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (25491)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (25491)Memory used [KB]: 5500
% 0.21/0.49 % (25491)Time elapsed: 0.074 s
% 0.21/0.49 % (25491)------------------------------
% 0.21/0.49 % (25491)------------------------------
% 0.21/0.49 % (25488)Success in time 0.131 s
% 0.21/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------