TSTP Solution File: ARI712_1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI712_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 : n009.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 : Wed Aug 30 17:54:42 EDT 2023
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 4 typ; 0 def)
% Number of atoms : 14 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 0 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 470 ( 0 atm; 388 fun; 82 num; 0 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 : 10 ( 4 usr; 8 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,
c: $int ).
tff(func_def_3,type,
d: $int ).
tff(f18,plain,
$false,
inference(avatar_smt_refutation,[],[f12,f17]) ).
tff(f17,plain,
spl0_2,
inference(avatar_split_clause,[],[f6,f14]) ).
tff(f14,plain,
( spl0_2
<=> ( $sum($sum($sum($product(a,a),$product($sum($product($product(a,b),c),$product($product(b,d),a)),$sum($sum($product($product(c,c),a),$product($product(d,d),b)),1))),b),$product(-1,$product($sum($sum($sum(a,b),c),d),$sum(2,c)))) = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f6,plain,
$sum($sum($sum($product(a,a),$product($sum($product($product(a,b),c),$product($product(b,d),a)),$sum($sum($product($product(c,c),a),$product($product(d,d),b)),1))),b),$product(-1,$product($sum($sum($sum(a,b),c),d),$sum(2,c)))) = 0,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$sum($sum($sum($product(a,a),$product($sum($product($product(a,b),c),$product($product(b,d),a)),$sum($sum($product($product(c,c),a),$product($product(d,d),b)),1))),b),$product(-1,$product($sum($sum($sum(a,b),c),d),$sum(2,c)))) = 0,
file('/export/starexec/sandbox2/tmp/tmp.k4YB5qGABi/Vampire---4.8_14949',eq) ).
tff(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f7,f9]) ).
tff(f9,plain,
( spl0_1
<=> ( 0 = $sum($product(d,$product(d,$product(d,$product(b,$product(b,a))))),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f7,plain,
0 != $sum($product(d,$product(d,$product(d,$product(b,$product(b,a))))),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a))))),
inference(evaluation,[],[f5]) ).
tff(f5,plain,
0 != $sum($product(1,$product($product($product($product($product(d,d),d),b),b),a)),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a))))),
inference(cnf_transformation,[],[f4]) ).
tff(f4,plain,
0 != $sum($product(1,$product($product($product($product($product(d,d),d),b),b),a)),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a))))),
inference(flattening,[],[f3]) ).
tff(f3,negated_conjecture,
( ~ 0 = $sum($product(1,$product($product($product($product($product(d,d),d),b),b),a)),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a))))) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
0 = $sum($product(1,$product($product($product($product($product(d,d),d),b),b),a)),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a))))),
file('/export/starexec/sandbox2/tmp/tmp.k4YB5qGABi/Vampire---4.8_14949',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI712_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 18:35:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_ARI problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.k4YB5qGABi/Vampire---4.8_14949
% 0.14/0.37 % (15215)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15216)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.22/0.43 % (15220)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.22/0.43 % (15222)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.22/0.43 % (15221)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.22/0.43 % (15217)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.22/0.43 % (15219)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.22/0.43 % (15218)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.49 % (15219)First to succeed.
% 0.22/0.49 % (15219)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 % (15219)------------------------------
% 0.22/0.49 % (15219)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (15219)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (15219)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (15219)Memory used [KB]: 1023
% 0.22/0.49 % (15219)Time elapsed: 0.063 s
% 0.22/0.49 % (15219)------------------------------
% 0.22/0.49 % (15219)------------------------------
% 0.22/0.49 % (15215)Success in time 0.122 s
% 0.22/0.49 15217 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.k4YB5qGABi/Vampire---4.8_14949
% 0.22/0.49 % (15217)------------------------------
% 0.22/0.49 % (15217)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (15217)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (15217)Termination reason: Unknown
% 0.22/0.49 % (15217)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (15217)Memory used [KB]: 6012
% 0.22/0.49 % (15217)Time elapsed: 0.066 s
% 0.22/0.49 % (15217)------------------------------
% 0.22/0.49 % (15217)------------------------------
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------