TSTP Solution File: SWW494_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW494_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 : n025.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 01:03:44 EDT 2023
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 65
% Syntax : Number of formulae : 80 ( 15 unt; 60 typ; 0 def)
% Number of atoms : 25 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 58 ( 37 >; 21 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 2 prp; 0-6 aty)
% Number of functors : 40 ( 40 usr; 12 con; 0-4 aty)
% Number of variables : 67 (; 12 !; 3 ?; 67 :)
% ( 52 !>; 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,
isUb:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_2,type,
ubs:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_3,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_5,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_6,type,
fFalse: bool ).
tff(func_def_7,type,
fTrue: bool ).
tff(func_def_8,type,
p: fun(real,bool) ).
tff(func_def_9,type,
y: real ).
tff(func_def_10,type,
x: real ).
tff(func_def_11,type,
sK1: real ).
tff(func_def_12,type,
sK2: real ).
tff(func_def_13,type,
sK3:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_14,type,
sK4:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_15,type,
sK5:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_16,type,
sK6:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).
tff(func_def_17,type,
sK7: fun(real,bool) > real ).
tff(func_def_18,type,
sK8: fun(real,bool) > real ).
tff(func_def_19,type,
sK9: fun(real,bool) > real ).
tff(func_def_20,type,
sK10: ( fun(real,bool) * real ) > real ).
tff(func_def_21,type,
sK11: ( fun(real,bool) * real ) > real ).
tff(func_def_22,type,
sK12:
!>[X0: $tType] : X0 ).
tff(func_def_23,type,
sK13:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_24,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_25,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_26,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_27,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_28,type,
sK18:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_29,type,
sK19:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_30,type,
sK20:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_31,type,
sK21:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_32,type,
sK22:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_33,type,
sK23:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_34,type,
sK24: real ).
tff(func_def_35,type,
sK25: real ).
tff(func_def_36,type,
sK26: real ).
tff(func_def_37,type,
sK27: real ).
tff(func_def_38,type,
sK28: 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,
dense_linorder:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
isLub:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_9,type,
leastP:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_10,type,
setge:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_11,type,
setle:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_12,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
order_strict_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_15,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_16,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_17,type,
pp: bool > $o ).
tff(pred_def_19,type,
sP0: fun(real,bool) > $o ).
tff(f613,plain,
$false,
inference(subsumption_resolution,[],[f612,f606]) ).
tff(f606,plain,
! [X0: real] : ~ isLub(real,top_top(fun(real,bool)),p,X0),
inference(backward_demodulation,[],[f605,f549]) ).
tff(f549,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
inference(cnf_transformation,[],[f198]) ).
tff(f198,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
inference(rectify,[],[f78]) ).
tff(f78,axiom,
! [X0: $tType,X14: fun(X0,bool)] : ( collect(X0,X14) = X14 ),
file('/export/starexec/sandbox/tmp/tmp.BLBJbSFgxs/Vampire---4.8_15588',fact_77_Collect__def) ).
tff(f605,plain,
! [X0: real] : ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0),
inference(subsumption_resolution,[],[f429,f428]) ).
tff(f428,plain,
~ thesis,
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
~ thesis,
inference(flattening,[],[f123]) ).
tff(f123,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f122]) ).
tff(f122,conjecture,
thesis,
file('/export/starexec/sandbox/tmp/tmp.BLBJbSFgxs/Vampire---4.8_15588',conj_1) ).
tff(f429,plain,
! [X0: real] :
( thesis
| ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0) ),
inference(cnf_transformation,[],[f234]) ).
tff(f234,plain,
! [X0: real] :
( thesis
| ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0: real] :
( isLub(real,top_top(fun(real,bool)),collect(real,p),X0)
=> thesis ),
inference(rectify,[],[f121]) ).
tff(f121,axiom,
! [X35: real] :
( isLub(real,top_top(fun(real,bool)),collect(real,p),X35)
=> thesis ),
file('/export/starexec/sandbox/tmp/tmp.BLBJbSFgxs/Vampire---4.8_15588',conj_0) ).
tff(f612,plain,
isLub(real,top_top(fun(real,bool)),p,sK26),
inference(forward_demodulation,[],[f579,f549]) ).
tff(f579,plain,
isLub(real,top_top(fun(real,bool)),collect(real,p),sK26),
inference(cnf_transformation,[],[f423]) ).
tff(f423,plain,
isLub(real,top_top(fun(real,bool)),collect(real,p),sK26),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f227,f422]) ).
tff(f422,plain,
( ? [X0: real] : isLub(real,top_top(fun(real,bool)),collect(real,p),X0)
=> isLub(real,top_top(fun(real,bool)),collect(real,p),sK26) ),
introduced(choice_axiom,[]) ).
tff(f227,plain,
? [X0: real] : isLub(real,top_top(fun(real,bool)),collect(real,p),X0),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
? [X2: real] : isLub(real,top_top(fun(real,bool)),collect(real,p),X2),
file('/export/starexec/sandbox/tmp/tmp.BLBJbSFgxs/Vampire---4.8_15588',fact_2__096EX_At_O_AisLub_AUNIV_A_ICollect_AP_J_At_096) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW494_5 : TPTP v8.1.2. Released v6.0.0.
% 0.16/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n025.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 18:14:39 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TF1_THM_EQU_NAR problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.BLBJbSFgxs/Vampire---4.8_15588
% 0.16/0.37 % (15856)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (15858)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.44 % (15863)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.44 % (15860)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.44 % (15862)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)
% 0.23/0.44 % (15857)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)
% 0.23/0.44 % (15861)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)
% 0.23/0.44 % (15859)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)
% 0.23/0.44 % (15863)Refutation not found, incomplete strategy% (15863)------------------------------
% 0.23/0.44 % (15863)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (15863)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (15863)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44 % (15863)Memory used [KB]: 5756
% 0.23/0.44 % (15863)Time elapsed: 0.007 s
% 0.23/0.44 % (15863)------------------------------
% 0.23/0.44 % (15863)------------------------------
% 0.23/0.44 % (15860)First to succeed.
% 0.23/0.44 % (15857)Refutation not found, incomplete strategy% (15857)------------------------------
% 0.23/0.44 % (15857)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (15857)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (15857)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44 % (15857)Memory used [KB]: 5884
% 0.23/0.44 % (15857)Time elapsed: 0.009 s
% 0.23/0.44 % (15857)------------------------------
% 0.23/0.44 % (15857)------------------------------
% 0.23/0.44 % (15862)Also succeeded, but the first one will report.
% 0.23/0.44 % (15860)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.45 % (15860)------------------------------
% 0.23/0.45 % (15860)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (15860)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (15860)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (15860)Memory used [KB]: 5756
% 0.23/0.45 % (15860)Time elapsed: 0.009 s
% 0.23/0.45 % (15860)------------------------------
% 0.23/0.45 % (15860)------------------------------
% 0.23/0.45 % (15856)Success in time 0.07 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------