TSTP Solution File: ARI575_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI575_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 : n029.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 17:54:09 EDT 2023
% Result : Theorem 0.23s 0.49s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 168 ( 57 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 177 ( 50 ~; 71 |; 45 &)
% ( 9 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 291 ( 72 atm; 72 fun; 129 num; 18 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 3 usr; 9 con; 0-2 aty)
% Number of variables : 18 (; 6 !; 12 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(func_def_9,type,
sK1: $int ).
tff(func_def_10,type,
sK2: $int ).
tff(f62,plain,
$false,
inference(avatar_smt_refutation,[],[f49,f50,f51,f52,f53,f54,f55,f56,f57,f58,f59,f60,f61]) ).
tff(f61,plain,
( spl3_1
| spl3_5 ),
inference(avatar_split_clause,[],[f8,f38,f22]) ).
tff(f22,plain,
( spl3_1
<=> $less(3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f38,plain,
( spl3_5
<=> ( 4 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
tff(f8,plain,
( ( 4 = sK0 )
| $less(3,sK0) ),
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
( ( ( 6 != sK2 )
| ( 5 != sK1 )
| ( 4 != sK0 )
| ~ $less($sum($sum(sK0,$product(2,sK1)),$product(3,sK2)),35)
| ~ $less(sK1,sK2)
| ~ $less(sK0,sK1)
| ~ $less(3,sK0) )
& ( ( ( 6 = sK2 )
& ( 5 = sK1 )
& ( 4 = sK0 ) )
| ( $less($sum($sum(sK0,$product(2,sK1)),$product(3,sK2)),35)
& $less(sK1,sK2)
& $less(sK0,sK1)
& $less(3,sK0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5,f6]) ).
tff(f6,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( ( 6 != X2 )
| ( 5 != X1 )
| ( 4 != X0 )
| ~ $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
| ~ $less(X1,X2)
| ~ $less(X0,X1)
| ~ $less(3,X0) )
& ( ( ( 6 = X2 )
& ( 5 = X1 )
& ( 4 = X0 ) )
| ( $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
& $less(X1,X2)
& $less(X0,X1)
& $less(3,X0) ) ) )
=> ( ( ( 6 != sK2 )
| ( 5 != sK1 )
| ( 4 != sK0 )
| ~ $less($sum($sum(sK0,$product(2,sK1)),$product(3,sK2)),35)
| ~ $less(sK1,sK2)
| ~ $less(sK0,sK1)
| ~ $less(3,sK0) )
& ( ( ( 6 = sK2 )
& ( 5 = sK1 )
& ( 4 = sK0 ) )
| ( $less($sum($sum(sK0,$product(2,sK1)),$product(3,sK2)),35)
& $less(sK1,sK2)
& $less(sK0,sK1)
& $less(3,sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f5,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( ( 6 != X2 )
| ( 5 != X1 )
| ( 4 != X0 )
| ~ $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
| ~ $less(X1,X2)
| ~ $less(X0,X1)
| ~ $less(3,X0) )
& ( ( ( 6 = X2 )
& ( 5 = X1 )
& ( 4 = X0 ) )
| ( $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
& $less(X1,X2)
& $less(X0,X1)
& $less(3,X0) ) ) ),
inference(flattening,[],[f4]) ).
tff(f4,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( ( 6 != X2 )
| ( 5 != X1 )
| ( 4 != X0 )
| ~ $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
| ~ $less(X1,X2)
| ~ $less(X0,X1)
| ~ $less(3,X0) )
& ( ( ( 6 = X2 )
& ( 5 = X1 )
& ( 4 = X0 ) )
| ( $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
& $less(X1,X2)
& $less(X0,X1)
& $less(3,X0) ) ) ),
inference(nnf_transformation,[],[f3]) ).
tff(f3,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
& $less(X1,X2)
& $less(X0,X1)
& $less(3,X0) )
<~> ( ( 6 = X2 )
& ( 5 = X1 )
& ( 4 = X0 ) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
& $less(X1,X2)
& $less(X0,X1)
& $less(3,X0) )
<=> ( ( 6 = X2 )
& ( 5 = X1 )
& ( 4 = X0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int] :
( ( $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
& $less(X1,X2)
& $less(X0,X1)
& $less(3,X0) )
<=> ( ( 6 = X2 )
& ( 5 = X1 )
& ( 4 = X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ugm32tEoeU/Vampire---4.8_13143',ineq_sys_has_1_int_sol) ).
tff(f60,plain,
( spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f9,f38,f26]) ).
tff(f26,plain,
( spl3_2
<=> $less(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f9,plain,
( ( 4 = sK0 )
| $less(sK0,sK1) ),
inference(cnf_transformation,[],[f7]) ).
tff(f59,plain,
( spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f10,f38,f30]) ).
tff(f30,plain,
( spl3_3
<=> $less(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f10,plain,
( ( 4 = sK0 )
| $less(sK1,sK2) ),
inference(cnf_transformation,[],[f7]) ).
tff(f58,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f11,f38,f34]) ).
tff(f34,plain,
( spl3_4
<=> $less($sum($sum(sK0,$product(2,sK1)),$product(3,sK2)),35) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f11,plain,
( ( 4 = sK0 )
| $less($sum($sum(sK0,$product(2,sK1)),$product(3,sK2)),35) ),
inference(cnf_transformation,[],[f7]) ).
tff(f57,plain,
( spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f12,f42,f22]) ).
tff(f42,plain,
( spl3_6
<=> ( 5 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
tff(f12,plain,
( ( 5 = sK1 )
| $less(3,sK0) ),
inference(cnf_transformation,[],[f7]) ).
tff(f56,plain,
( spl3_2
| spl3_6 ),
inference(avatar_split_clause,[],[f13,f42,f26]) ).
tff(f13,plain,
( ( 5 = sK1 )
| $less(sK0,sK1) ),
inference(cnf_transformation,[],[f7]) ).
tff(f55,plain,
( spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f14,f42,f30]) ).
tff(f14,plain,
( ( 5 = sK1 )
| $less(sK1,sK2) ),
inference(cnf_transformation,[],[f7]) ).
tff(f54,plain,
( spl3_4
| spl3_6 ),
inference(avatar_split_clause,[],[f15,f42,f34]) ).
tff(f15,plain,
( ( 5 = sK1 )
| $less($sum($sum(sK0,$product(2,sK1)),$product(3,sK2)),35) ),
inference(cnf_transformation,[],[f7]) ).
tff(f53,plain,
( spl3_1
| spl3_7 ),
inference(avatar_split_clause,[],[f16,f46,f22]) ).
tff(f46,plain,
( spl3_7
<=> ( 6 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
tff(f16,plain,
( ( 6 = sK2 )
| $less(3,sK0) ),
inference(cnf_transformation,[],[f7]) ).
tff(f52,plain,
( spl3_2
| spl3_7 ),
inference(avatar_split_clause,[],[f17,f46,f26]) ).
tff(f17,plain,
( ( 6 = sK2 )
| $less(sK0,sK1) ),
inference(cnf_transformation,[],[f7]) ).
tff(f51,plain,
( spl3_3
| spl3_7 ),
inference(avatar_split_clause,[],[f18,f46,f30]) ).
tff(f18,plain,
( ( 6 = sK2 )
| $less(sK1,sK2) ),
inference(cnf_transformation,[],[f7]) ).
tff(f50,plain,
( spl3_4
| spl3_7 ),
inference(avatar_split_clause,[],[f19,f46,f34]) ).
tff(f19,plain,
( ( 6 = sK2 )
| $less($sum($sum(sK0,$product(2,sK1)),$product(3,sK2)),35) ),
inference(cnf_transformation,[],[f7]) ).
tff(f49,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f20,f46,f42,f38,f34,f30,f26,f22]) ).
tff(f20,plain,
( ( 6 != sK2 )
| ( 5 != sK1 )
| ( 4 != sK0 )
| ~ $less($sum($sum(sK0,$product(2,sK1)),$product(3,sK2)),35)
| ~ $less(sK1,sK2)
| ~ $less(sK0,sK1)
| ~ $less(3,sK0) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI575_1 : TPTP v8.1.2. Released v5.1.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n029.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 19:05:12 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_EQU_ARI problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ugm32tEoeU/Vampire---4.8_13143
% 0.15/0.37 % (13393)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43 % (13398)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)
% 0.15/0.43 % (13403)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)
% 0.15/0.43 % (13400)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.15/0.43 % (13399)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)
% 0.15/0.43 % (13402)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)
% 0.15/0.43 % (13401)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)
% 0.15/0.43 % (13397)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)
% 0.23/0.49 % (13400)First to succeed.
% 0.23/0.49 % (13400)Refutation found. Thanks to Tanya!
% 0.23/0.49 % SZS status Theorem for Vampire---4
% 0.23/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.49 % (13400)------------------------------
% 0.23/0.49 % (13400)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49 % (13400)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49 % (13400)Termination reason: Refutation
% 0.23/0.49
% 0.23/0.49 % (13400)Memory used [KB]: 1023
% 0.23/0.49 % (13400)Time elapsed: 0.062 s
% 0.23/0.49 % (13400)------------------------------
% 0.23/0.49 % (13400)------------------------------
% 0.23/0.49 % (13393)Success in time 0.122 s
% 0.23/0.49 13398 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.ugm32tEoeU/Vampire---4.8_13143
% 0.23/0.49 % (13398)------------------------------
% 0.23/0.49 % (13398)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49 % (13398)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49 % (13398)Termination reason: Unknown
% 0.23/0.49 % (13398)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (13398)Memory used [KB]: 5500
% 0.23/0.49 % (13398)Time elapsed: 0.065 s
% 0.23/0.49 % (13398)------------------------------
% 0.23/0.49 % (13398)------------------------------
% 0.23/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------