TSTP Solution File: ARI585_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI585_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 : n011.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 17:54:12 EDT 2023
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 12 unt; 2 typ; 0 def)
% Number of atoms : 55 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 11 |; 18 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 175 ( 53 atm; 44 fun; 42 num; 36 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 36 (; 26 !; 10 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int > $int ).
tff(f76,plain,
$false,
inference(unit_resulting_resolution,[],[f26,f72]) ).
tff(f72,plain,
! [X0: $int] : $less(sK1(X0),$sum(9,sK0)),
inference(evaluation,[],[f71]) ).
tff(f71,plain,
! [X0: $int] : $less(sK1(X0),$sum($sum(8,sK0),1)),
inference(unit_resulting_resolution,[],[f64,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f64,plain,
! [X0: $int] : ~ $less($sum(8,sK0),sK1(X0)),
inference(unit_resulting_resolution,[],[f23,f8,f9]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_146,[]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_145,[]) ).
tff(f23,plain,
! [X1: $int] : $less(sK1(X1),$sum(8,sK0)),
inference(forward_demodulation,[],[f21,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f21,plain,
! [X1: $int] : $less(sK1(X1),$sum(sK0,8)),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X1: $int] :
( ( ~ $less(sK1(X1),$sum(X1,4))
| ~ $less(X1,sK1(X1)) )
& $less(sK1(X1),$sum(sK0,8))
& $less($sum(sK0,5),sK1(X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f18,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2) )
=> ! [X1: $int] :
? [X2: $int] :
( ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(sK0,8))
& $less($sum(sK0,5),X2) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
! [X1: $int] :
( ? [X2: $int] :
( ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(sK0,8))
& $less($sum(sK0,5),X2) )
=> ( ( ~ $less(sK1(X1),$sum(X1,4))
| ~ $less(X1,sK1(X1)) )
& $less(sK1(X1),$sum(sK0,8))
& $less($sum(sK0,5),sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
? [X2: $int] :
( ( ~ $less(X2,$sum(X1,4))
| ~ $less(X1,X2) )
& $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2) )
=> ( $less(X2,$sum(X1,4))
& $less(X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
! [X2: $int] :
( ( $less(X2,$sum(X0,8))
& $less($sum(X0,5),X2) )
=> ( $less(X2,$sum(X1,4))
& $less(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GZFyRSAPJM/Vampire---4.8_6627',interv_4_can_cover_interv_3) ).
tff(f26,plain,
~ $less(sK1($sum(5,sK0)),$sum(9,sK0)),
inference(evaluation,[],[f25]) ).
tff(f25,plain,
~ $less(sK1($sum(5,sK0)),$sum($sum(5,sK0),4)),
inference(unit_resulting_resolution,[],[f24,f22]) ).
tff(f22,plain,
! [X1: $int] :
( ~ $less(sK1(X1),$sum(X1,4))
| ~ $less(X1,sK1(X1)) ),
inference(cnf_transformation,[],[f19]) ).
tff(f24,plain,
! [X1: $int] : $less($sum(5,sK0),sK1(X1)),
inference(forward_demodulation,[],[f20,f3]) ).
tff(f20,plain,
! [X1: $int] : $less($sum(sK0,5),sK1(X1)),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI585_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 : n011.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 : Tue Aug 29 17:49:42 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TF0_THM_NEQ_ARI problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.GZFyRSAPJM/Vampire---4.8_6627
% 0.15/0.37 % (6902)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (6907)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 % (6909)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 % (6910)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 % (6904)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 % (6908)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 % (6906)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)
% 0.22/0.43 % (6905)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 % (6910)First to succeed.
% 0.22/0.44 % (6910)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (6910)------------------------------
% 0.22/0.44 % (6910)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (6910)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (6910)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (6910)Memory used [KB]: 1023
% 0.22/0.44 % (6910)Time elapsed: 0.006 s
% 0.22/0.44 % (6910)------------------------------
% 0.22/0.44 % (6910)------------------------------
% 0.22/0.44 % (6902)Success in time 0.066 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------