TSTP Solution File: SWW496_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW496_5 : TPTP v8.1.2. Released v6.0.0.
% 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 : n032.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 01:03:45 EDT 2023
% Result : Theorem 0.17s 0.41s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 54
% Syntax : Number of formulae : 84 ( 3 unt; 46 typ; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 42 ~; 33 |; 16 &)
% ( 6 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 31 ( 20 >; 11 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 4 prp; 0-4 aty)
% Number of functors : 32 ( 32 usr; 17 con; 0-4 aty)
% Number of variables : 58 (; 12 !; 9 ?; 58 :)
% ( 37 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
real: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_1,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_3,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_4,type,
fFalse: bool ).
tff(func_def_5,type,
fTrue: bool ).
tff(func_def_6,type,
l: real ).
tff(func_def_7,type,
p: fun(real,bool) ).
tff(func_def_8,type,
y1: real ).
tff(func_def_9,type,
x: real ).
tff(func_def_10,type,
y: real ).
tff(func_def_11,type,
sK0: real ).
tff(func_def_12,type,
sK1: real ).
tff(func_def_13,type,
sK2: real ).
tff(func_def_14,type,
sK3: real ).
tff(func_def_15,type,
sK4: real ).
tff(func_def_16,type,
sK5:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_17,type,
sK6:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_18,type,
sK7:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_19,type,
sK8:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_20,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_21,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_22,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_23,type,
sK12:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_24,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_25,type,
sK14:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_26,type,
sK15: real ).
tff(func_def_27,type,
sK16: real ).
tff(func_def_28,type,
sK17: real ).
tff(func_def_29,type,
sK18: real ).
tff(func_def_30,type,
sK19: real ).
tff(pred_def_1,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
isLub:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_8,type,
isUb:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_9,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(f690,plain,
$false,
inference(avatar_sat_refutation,[],[f598,f603,f630,f689]) ).
tff(f689,plain,
( ~ spl20_1
| ~ spl20_3 ),
inference(avatar_contradiction_clause,[],[f688]) ).
tff(f688,plain,
( $false
| ~ spl20_1
| ~ spl20_3 ),
inference(subsumption_resolution,[],[f680,f593]) ).
tff(f593,plain,
( ord_less(real,y,sK0)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f591]) ).
tff(f591,plain,
( spl20_1
<=> ord_less(real,y,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
tff(f680,plain,
( ~ ord_less(real,y,sK0)
| ~ spl20_3 ),
inference(resolution,[],[f602,f589]) ).
tff(f589,plain,
! [X0: real] :
( ~ pp(aa(real,bool,p,X0))
| ~ ord_less(real,y,X0) ),
inference(subsumption_resolution,[],[f406,f507]) ).
tff(f507,plain,
! [X0: real] :
( ~ pp(aa(real,bool,p,X0))
| ~ ord_less(real,y,X0)
| ord_less(real,y,l) ),
inference(cnf_transformation,[],[f302]) ).
tff(f302,plain,
! [X0: real] :
( ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(flattening,[],[f301]) ).
tff(f301,plain,
! [X0: real] :
( ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(ennf_transformation,[],[f183]) ).
tff(f183,plain,
! [X0: real] :
( pp(aa(real,bool,p,X0))
=> ( ord_less(real,y,X0)
=> ord_less(real,y,l) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: real] :
( pp(aa(real,bool,p,X5))
=> ( ord_less(real,y,X5)
=> ord_less(real,y,l) ) ),
file('/export/starexec/sandbox/tmp/tmp.2Fk9hb5h3p/Vampire---4.8_3950',fact_3__096_B_Bz_O_A_091_124_AP_Az_059_Ay_A_060_Az_A_124_093_A_061_061_062_Ay_A_060_AL_096) ).
tff(f406,plain,
! [X0: real] :
( ~ ord_less(real,y,l)
| ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ),
inference(cnf_transformation,[],[f342]) ).
tff(f342,plain,
( ( ~ ord_less(real,y,l)
| ! [X0: real] :
( ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ) )
& ( ord_less(real,y,l)
| ( ord_less(real,y,sK0)
& pp(aa(real,bool,p,sK0)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f340,f341]) ).
tff(f341,plain,
( ? [X1: real] :
( ord_less(real,y,X1)
& pp(aa(real,bool,p,X1)) )
=> ( ord_less(real,y,sK0)
& pp(aa(real,bool,p,sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f340,plain,
( ( ~ ord_less(real,y,l)
| ! [X0: real] :
( ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ) )
& ( ord_less(real,y,l)
| ? [X1: real] :
( ord_less(real,y,X1)
& pp(aa(real,bool,p,X1)) ) ) ),
inference(rectify,[],[f339]) ).
tff(f339,plain,
( ( ~ ord_less(real,y,l)
| ! [X0: real] :
( ~ ord_less(real,y,X0)
| ~ pp(aa(real,bool,p,X0)) ) )
& ( ord_less(real,y,l)
| ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) ) ) ),
inference(nnf_transformation,[],[f224]) ).
tff(f224,plain,
( ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) )
<~> ord_less(real,y,l) ),
inference(ennf_transformation,[],[f122]) ).
tff(f122,plain,
~ ( ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) )
<=> ord_less(real,y,l) ),
inference(rectify,[],[f121]) ).
tff(f121,negated_conjecture,
~ ( ? [X17: real] :
( ord_less(real,y,X17)
& pp(aa(real,bool,p,X17)) )
<=> ord_less(real,y,l) ),
inference(negated_conjecture,[],[f120]) ).
tff(f120,conjecture,
( ? [X17: real] :
( ord_less(real,y,X17)
& pp(aa(real,bool,p,X17)) )
<=> ord_less(real,y,l) ),
file('/export/starexec/sandbox/tmp/tmp.2Fk9hb5h3p/Vampire---4.8_3950',conj_0) ).
tff(f602,plain,
( pp(aa(real,bool,p,sK0))
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f600]) ).
tff(f600,plain,
( spl20_3
<=> pp(aa(real,bool,p,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
tff(f630,plain,
~ spl20_2,
inference(avatar_split_clause,[],[f629,f595]) ).
tff(f595,plain,
( spl20_2
<=> ord_less(real,y,l) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
tff(f629,plain,
~ ord_less(real,y,l),
inference(subsumption_resolution,[],[f620,f425]) ).
tff(f425,plain,
( ~ ord_less(real,y,l)
| ord_less(real,y,sK1) ),
inference(cnf_transformation,[],[f344]) ).
tff(f344,plain,
( ( ord_less(real,y,sK1)
& pp(aa(real,bool,p,sK1)) )
| ~ ord_less(real,y,l) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f225,f343]) ).
tff(f343,plain,
( ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) )
=> ( ord_less(real,y,sK1)
& pp(aa(real,bool,p,sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f225,plain,
( ? [X0: real] :
( ord_less(real,y,X0)
& pp(aa(real,bool,p,X0)) )
| ~ ord_less(real,y,l) ),
inference(ennf_transformation,[],[f123]) ).
tff(f123,plain,
( ord_less(real,y,l)
=> ~ ! [X0: real] :
( pp(aa(real,bool,p,X0))
=> ~ ord_less(real,y,X0) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
( ord_less(real,y,l)
=> ~ ! [X3: real] :
( pp(aa(real,bool,p,X3))
=> ~ ord_less(real,y,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.2Fk9hb5h3p/Vampire---4.8_3950',fact_4__096_091_124_Ay_A_060_AL_059_AALL_Az_O_AP_Az_A_N_N_062_A_126_Ay_A_060_Az_A_124_093_A_061_061_062_AFalse_096) ).
tff(f620,plain,
( ~ ord_less(real,y,sK1)
| ~ ord_less(real,y,l) ),
inference(resolution,[],[f589,f424]) ).
tff(f424,plain,
( pp(aa(real,bool,p,sK1))
| ~ ord_less(real,y,l) ),
inference(cnf_transformation,[],[f344]) ).
tff(f603,plain,
( spl20_3
| spl20_2 ),
inference(avatar_split_clause,[],[f404,f595,f600]) ).
tff(f404,plain,
( ord_less(real,y,l)
| pp(aa(real,bool,p,sK0)) ),
inference(cnf_transformation,[],[f342]) ).
tff(f598,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f405,f595,f591]) ).
tff(f405,plain,
( ord_less(real,y,l)
| ord_less(real,y,sK0) ),
inference(cnf_transformation,[],[f342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW496_5 : TPTP v8.1.2. Released v6.0.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.34 % Computer : n032.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Sun Aug 27 22:08:15 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 This is a TF1_THM_EQU_NAR problem
% 0.11/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.2Fk9hb5h3p/Vampire---4.8_3950
% 0.11/0.35 % (4104)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (4111)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.17/0.41 % (4108)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.17/0.41 % (4110)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.17/0.41 % (4112)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.17/0.41 % (4109)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.17/0.41 % (4106)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.17/0.41 % (4113)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.17/0.41 % (4113)First to succeed.
% 0.17/0.41 % (4111)Also succeeded, but the first one will report.
% 0.17/0.41 % (4113)Refutation found. Thanks to Tanya!
% 0.17/0.41 % SZS status Theorem for Vampire---4
% 0.17/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.41 % (4113)------------------------------
% 0.17/0.41 % (4113)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.41 % (4113)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.41 % (4113)Termination reason: Refutation
% 0.17/0.41
% 0.17/0.41 % (4113)Memory used [KB]: 5884
% 0.17/0.41 % (4113)Time elapsed: 0.007 s
% 0.17/0.41 % (4113)------------------------------
% 0.17/0.41 % (4113)------------------------------
% 0.17/0.41 % (4104)Success in time 0.066 s
% 0.17/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------